Common values

Algebra Level 1

$\frac{(x-80)^2}{2x-160}=20$

What is the value of $x$ that satisfies the equation above?

40 80 60 120 160

1 solution

Ivander Jonathan
May 10, 2015

For the first step, let's factor the bottom line. $\frac{(x-80)^2}{2(x-80)}=20$ After crossing out, we get a linear equation and that $x \not= 80$ $x-80=40$ $x=\boxed{120}$

Moderator note:

As Nihar Mahajan has pointed out, you should show that $x\ne 80$ else you could be dividing by $0$ . Bonus question: What would the answer be if I replace the number $20$ by $0$ ?

It must also be mentioned that $x \neq 80$ before cancellation.

Nihar Mahajan - 6 years, 1 month ago

@Calvin Lin Sir, I think that the answer to the Bonus Question does not exist. :)

Again, After factoring the Denominator, We get x-80=0. Hence x=80, But, When we Put the value of x i.e. 80 into the Equation, We would divide by 0, Which is undefined. :)

Mehul Arora - 6 years, 1 month ago

No answer to bonus question

Yoogottam Khandelwal - 6 years ago

please mention that x is not equal to 80 next time

Leonardo Fajardo - 5 years, 8 months ago

Common values

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