Question

x^2-7x-34=10

Please help me answer this question thank you

Answer 1

Answer: x = 4,11

Step-by-step explanation:

x^2 - 7x - 34 - 10 = 0

x^2 - 7x - 44 = 0

Factorise it

x^2 - 11x - 4x - 44 = 0

x ( x - 11 ) - 4 ( x - 11 ) = 0

(x-4)(x-11) = 0

x = 4,11

Answer 2

Answer:

X can either be -4 or 11.

Step-by-step explanation:

$x^{2} - 7x - 34 = 10\\\\Make this into a quadratic equation:\\\\x^{2} - 7x - 44 = 0\\ \\Find the factor pairs of -44 and their sums:\\-1,44 sum is 43\\ -2,22 sum is 20\\-4,11 sum is 7\\1, 44 sum is 45\\2, -22 sum is 20\\4, -11 sum is -7\\\\\\Find a sum that is equal to the coefficient of x which is -7 in this case. As we can see the pair 4, -11 corresponds to a sum of -7, therefore we can use this to factorise this quadratic equation and get two solutions:\\\\(x + 4) (x - 11) = 0$

If we set (x+4) to zero then x equals -4

If we set (x-11) to zero then x equals to 11.

So x can be -4 or 11.