Question

The value of b in the equation :-
(x + 6) (x + b) = x² + 2x - 24 is
(A) 2
(B) 4
(C)-2
(D)-4
please answer in full steps....
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Answer 1

Step-by-step explanation:

Identity - (x+a)(x+b) = x² + ( a + b )x + ab

Thus,

( -4 = 2x In the equation )

x² + [ 6 + ( -4 ) ] x + 6 × -4

.:. x² +2x - 24

Therefore,

Value of b = -4

Answer 2

Step-by-step explanation:

(x+6)(x+b) = x²+2x-24

x²+(6+b)x+6×b = x²+2x-24

x²+6x+bx+6b = x²+2x-24

6x+bx+6b = 2x-24

6(x+bx/6+b) = 2(x-24)

3x+bx/2+3b = x-24

This is the answer