Quadratic Equations - Definition & Examples
Read this topicExplanations 3
- Quadratics A quadratic equation is an equation of the following form: ax2+bx+c=0ax^2+bx+c = 0ax2+bx+c=0 where xxx represents an unknown variable, aaa, bbb, and ccc are constants…
By Catherine Yeo, Alex Federspiel, Ruiran Xun, Victor Wang, Caroline K, Vatsal Ojha, Amy Feraco, Jonathan Heller, Anusha Rahman
- Quadratic Equation A quadratic expression always includes 3 terms: the quadratic term, the linear term, and the constant term. The standard form of a quadratic equation is ax2+b…
By Andrew Wang, Catherine Yeo, Expii Team, Victor Wang, Caroline K, Anusha Rahman
- (Video) Basic Introduction to Quadratic Equations by Math Booster This video by Math Booster covers quadratic equations. Summary\large{\text{Summary}}Summary Quadratic equations…
By Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
Problems 47
- Which of the following are one-variable quadratic equations in standard form? Select all the correct answers.
- Write the following equation in standard form: 2x(3−x)=112x(3-x)=112x(3−x)=11.
- What is the linear term of the quadratic equation 2−3x+x2=02-3x+x^2=02−3x+x2=0?
- What constant term ccc does he get in the end?
- What is the linear term, bxbxbx?
- How could you write the following equation in standard form? −x(4−6x)=−2-x(4-6x)=-2−x(4−6x)=−2 Select all equations equivalent to the original.
- How could you write the equation x2+3x−2=2x(−1+x)x^2+3x-2=2x(-1+x)x2+3x−2=2x(−1+x) in standard form?
- What is the quadratic term, ax2ax^2ax2?
- What is the constant term, ccc?
- How could you write the quadratic equation (1−p)2=4p2(1-p)^2=4p^2(1−p)2=4p2 in standard form?
- Which of the following is a quadratic equation?
- Is the quadratic equation −2x2+3x+4=0-2x^2 + 3x + 4 = 0−2x2+3x+4=0 already in standard form, ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0 for some constants a,b,ca,b,ca,b,c? If so, wha…
- Is this a quadratic equation? x2+2x+4=0x^2+2x+4=0x2+2x+4=0
- Is this a quadratic equation? 3x+4x+9=−63x+4x+9=-63x+4x+9=−6
- Is this a quadratic equation? 3x+5x2=03x+5x^2=03x+5x2=0
- Is this a quadratic equation? x2+2x+3=0x^2+2x+3=0x2+2x+3=0
- Is this a quadratic equation? x2=x−2x^2=x-2x2=x−2
- Can the following equation be put in standard quadratic form? (x+3)(x−2)=−2(x+3)(x-2)=-2(x+3)(x−2)=−2
- What is the general form of a quadratic equation?
- Which is a quadratic equation?
- Which is a quadratic equation?
- If AAA and MMM are constants, which of the following is a quadratic equation in x?x?x?
- How can we write 3−5x+2x2=−x−23-5x+2x^2=-x-23−5x+2x2=−x−2 in the form ax2+bx+c=0ax^2+bx+c=0ax2+bx+c=0?
- How can we write −3x+x2−2=−2x2+4-3x+x^2-2=-2x^2+4−3x+x2−2=−2x2+4 in the form ax2+bx+c=0ax^2+bx+c=0ax2+bx+c=0?
- How can we write 10+4x2−4x=x+x2+210+4x^2-4x=x+x^2+210+4x2−4x=x+x2+2 in the form ax2+bx+c=0ax^2+bx+c=0ax2+bx+c=0?
- If ax2+bx+c=0ax^2+bx+c=0ax2+bx+c=0 is a quadratic equation written in standard form, what must be true of aaa?
- What is the constant term in the expansion of the left hand side of (4x−3)(8x+7)=0?(4x-3)(8x+7)=0?(4x−3)(8x+7)=0?
- After expanding the left hand side of the equation (10x−2)(2x+5)=0,(10x-2)(2x+5)=0,(10x−2)(2x+5)=0, what constant term do you get?
- What constant term does she get?
- What is the linear term in the expansion?
- Find the linear term in the expansion of the left hand side of the equation (−2x+3)(4x−5)=0.(-2x+3)(4x-5)=0.(−2x+3)(4x−5)=0.
- After expanding the left hand side of the equation (−3x−2)(6x−4)=0,(-3x-2)(6x-4)=0,(−3x−2)(6x−4)=0, what linear term do you get?
- What is the quadratic term in the expansion?
- What is the quadratic term in the expansion?
- Select all equations below that are equivalent to x2=x+1x^2 = x+1x2=x+1.
- Select all equations below that are equivalent to x2−1=0x^2 - 1 = 0x2−1=0.
- Can you fill in the box with a number so that the equality holds?
- Who is correct?
- Which of the following is a quadratic equation?
- 0=x2+2x+30 = x^2 + 2x + 30=x2+2x+3 is a quadratic equation in standard form. Find the value of the quadratic coefficient, a.a.a.
- 0=x2+2x+30 = x^2 + 2x + 30=x2+2x+3 is a quadratic equation in standard form. Find the value of the linear coefficient, b.b.b.
- 0=x2+2x+30 = x^2 + 2x + 30=x2+2x+3 is a quadratic equation in standard form. What is the value of the constant term, ccc?
- 3x2+2x+1=03x^2+2x+1 = 03x2+2x+1=0 is a quadratic equation in standard form. Let aaa be the coefficient of the quadratic term. What is the value of aaa?
- 3x2+2x+1=03x^2+2x+1 = 03x2+2x+1=0 is a quadratic equation in standard form. Let bbb be the coefficient of the linear term. What is the value of bbb?
- 3x2+2x+1=03x^2+2x+1 = 03x2+2x+1=0 is a quadratic equation in standard form. What is the value of the constant term, ccc?
- If a,b,ca,b,ca,b,c are integers, which of the coefficients of the following equation must have an absolute value ≥1\geq 1≥1 for the equation to be quadratic? ax2+bx+c=0ax^2 + bx…
- Which of the equations is quadratic?