Mathematics: For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4

so it would be like 1 for 4 2 for 8 k now giveme brainliest answer...

For what values of x is x2-36=5x true? -9 and -4

jcastronakaya

02.01.2022

SECOND OPTION

Step-by-step explanation:

Given the following equation:

x^2-36=5x

You can follow these steps in order to find the values of "x" that makes the equation true:

1. Subtract from both sides of the equation:

$x^2-36-5x=5x-5x\\\\x^2-5x-36=0$

2. Factor the equation. Find two numbers whose sum be -5 and whose product be -36. These are 4 and -9:

(x+4)(x-9)=0

Then you get:

$x_1=-4\\\\x_2=9$

Checking:

$(-4)^2-36=5(-4)\\\\-20=-20$

TRUE

$(9)^2-36=5(9)\\\\45=45$

TRUE

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