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Sagot :
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:
X can either be -4 or 11.
Step-by-step explanation:
[tex]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\\[/tex]
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.
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