if (x-5) (x-3) =x2+ax-15 then the value of a is _____
Answers
Answer:
a= -8
Step-by-step explanation:
(x+a)(x+b)=x^2+(a+b)x+ab
(x-5) (x-3)=x^2+(-5-3)x+(-3)×(-5)
=x^2-8x+15
Given : (x-5) (x-3) =x²+ax-15
To Find : Value of a
Solution:
(x-5) (x-3) =x²+ax-15
Using Distributive property on LHS
=> (x-5)x - (x - 5)3 = x²+ax-15
=> x² - 5x - 3x + 15 = x²+ax-15
=> x² - 8x + 15 = x²+ax-15
=> -8x + 15 = ax - 15
=> xa = -8x + 30
=> a = ( -8x + 30)/x
There must be some mistake in data
Few possibilities
(x-5) (x-3) =x²+ax+ 15 => a = - 8
(x-5) (x-3) =x²-ax+ 15 => a = 8
(x-5) (x+3) =x²+ax-15 => a = - 2
(x+5) (x-3) =x²+ax-15 => a = 2
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