Question

What are the solutions to x2−10x=39? Question 4 options: 3 and -13 1 and -39 -1 and 39 -3 and 13

Answer 1

Answer:

$x=-3,13$

Step-by-step explanation:

Given: $x^2-10x=39$

To find: solutions of the given equation

Solution:

$x^2-10x=39\\x^2-10x-39=0$

Write $-10=-13+3$

Therefore,

$x^2-13x+3x-39=0\\x(x-13)+3(x-13)=0\\(x+3)(x-13)=0\\x=-3,13$

So, solutions of the given equation are $-3$ and $13$.