## Related questions with answers

Question

Use the equation $y=x^2-6 x+8$ to answer the following questions.

For what values of $x$ is $y=-10$?

Solutions

VerifiedSolution A

Solution B

Answered 1 year ago

Step 1

1 of 4To find the values of $x$ when $y=-10$. Equate the function $f(x)$ with $-10$.

$\begin{aligned} x^2 - 6x + 8 &= -10\\ x^2 -6x +18 &= 0 && (1) \end{aligned}$

Step 1

1 of 2We want to find the values of $x$ when $y=-10$, so $y=-10=x^2-6x+8 \implies x^2-6x+8+10=0 \implies x^2-6x+18=0$ But the discriminant of this equation $=(-6)^2-4(1)(18)=36-72=-36$ thus this equation has no real values of $x$, so there is no values of $x$ for $y=-10$.

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