Absolute Value Equations with No Solution
Read this topicExplanations 3
- Sometimes absolute value equations don't have a solution. This usually happens when the absolute value equals a negative number. For example: ∣x∣=−3|x|=-3∣x∣=−3. No matter what …
By Alex Federspiel, Zora Gilbert, Liza Sulkin, Caroline K, Anusha Rahman
- Absolute Value Equations with No Solution Earlier, we looked at absolute value equations with sums and with products. We also looked at other approaches. Now, let's look at anot…
By Hannah Bonville, Zora Gilbert, Liza Sulkin, Jonathan Heller, Caroline K, Anusha Rahman
- (Video) Solving an Absolute Value Equation with no Solution - Free Math Videos by Brian McLogan This video by Brian McLogan looks at absolute value equations with no solution. S…
By Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
Problems 25
- Find the value(s) of xxx such that ∣∣x+3∣−6∣=7.||x+3|-6|=7.∣∣x+3∣−6∣=7.
- Does the following equation have a solution? −10∣x+19∣+17=−6-10|x+19|+17=-6−10∣x+19∣+17=−6
- Does the following equation have a solution? 15∣18x+15∣−6=−1915|18x+15|-6=-1915∣18x+15∣−6=−19
- Does the following equation have a solution? −10∣2x−8∣−3=−1-10|2x-8|-3=-1−10∣2x−8∣−3=−1
- Does the following equation have a solution? ∣9x+3∣−8=−10|9x+3|-8=-10∣9x+3∣−8=−10
- Does the following equation have a solution? 3∣5−9x∣−8=−73|5-9x|-8=-73∣5−9x∣−8=−7
- Does the following equation have a solution? −∣1−8x∣−6=−9-|1-8x|-6=-9−∣1−8x∣−6=−9
- Does the following equation have a solution? 4∣9−7x∣+4=34|9-7x|+4=34∣9−7x∣+4=3
- Does ∣x2+16x+8∣=−8|x^2+16x+8| = -8∣x2+16x+8∣=−8 have real solutions?
- Solve for xxx in the equation ∣x∣2+2∣x∣+1=0|x|^2+2|x|+1=0∣x∣2+2∣x∣+1=0. Select all that apply.
- Does ∣x∣=1|x|=1∣x∣=1 have a solution?
- Does ∣x∣=−1|x|=-1∣x∣=−1 have a solution?
- Does ∣x∣2=−1|x|^2=-1∣x∣2=−1 have a solution?
- Does ∣x∣2=1|x|^2=1∣x∣2=1 have a solution?
- Does −∣x∣2=1-|x|^2=1−∣x∣2=1 have a solution?
- Does 3∣x∣=23|x|=23∣x∣=2 have a solution?
- Does 3∣x∣=−23|x|=-23∣x∣=−2 have a solution?
- Does −3∣x∣=−64-3|x|=-64−3∣x∣=−64 have a solution?
- Does −3∣x∣=64-3|x|=64−3∣x∣=64 have a solution?
- Does 5.9471∣x∣=10.549735.9471|x|=10.549735.9471∣x∣=10.54973 have a solution?
- Does π∗∣x∣=1126432132∗π\pi*|x|=1126432132*\piπ∗∣x∣=1126432132∗π have a solution?
- Does π∗∣x∣=−1126432132∗π\pi*|x|=-1126432132*\piπ∗∣x∣=−1126432132∗π have a solution?
- How many real value(s) of xxx satisfy the equation ∣x∣+1=2|x|+1 = 2∣x∣+1=2?
- How many real value(s) of xxx satisfy the equation ∣x∣+2=1|x|+2 = 1∣x∣+2=1?
- How many real value(s) of xxx satisfy the equation 2∣x∣+2=22|x|+2 = 22∣x∣+2=2?