If (y - 1)(y + 4) = 0 and y < -1, what is the… | GMAT Sprint

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PS · Problem Solving

sub-505

Algebra

If $(y - 1)(y + 4) = 0$ and $y < -1$ , what is the value of $y^{−2}$ ?

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-1/16

-1/25

1/16

Correct

1/25

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Explanation

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Official Explanation

Official

To solve the equation

(y - 1)(y + 4) = 0

, we set each factor to zero:

y - 1 = 0

gives

y = 1

, and

y + 4 = 0

gives

y = -4

. Since we are given that

y < -1

, we…

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Comments

PhilemonJan 18, 2025

Good question

ShivamFeb 7, 2025

Thank for sharing!!!

rohitJan 2, 2025

thanks for posting

AmanApr 8, 2025

thanks for the answer

AshitaMar 19, 2024

can you explain more?

BebasMar 28, 2024

thank you taking time to upload it!

NafisSep 6

Can make careless mistake, when doing 1/(-4)2

What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

If (y−1)(y+4)=0(y - 1)(y + 4) = 0(y−1)(y+4)=0 and y<−1y < -1y<−1, what is the value of y−2y^{−2}y−2 ?