find the solution of the following equation of x²+8x+15=0 please answer this question
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Step-by-step explanation:
ax^2+bx+c=0 be any quadratic equation with non zero 'a'
Multiplying whole equation by ‘4a’
4a^2x^2+4abx+4ac=0
Adding 'b^2′ on both sides and writing in standard forms
(2ax)^2+2(2ax)b+b^2=b^2–4ac
Now it is the expansion of (x+y)^2 form
(2ax+b)^2=b^2–4ac
2ax+b=+_√(b^2–4ac)
x={-b+_√(b^2–4ac)}/(2a)
In the above equation
a=1
b=8
c=15
b^2–4ac=8^2–4*1*15=64–60=4
Substituting in the above mentioned solution we get
x=(-8+_√4)/(2*1)
x=(-8+_2)/2
Taking 2 as common
x={2*(-4+_1)/2}
Cancelling 2
x=-4+_1
x=-4+1 (or) x=-4–1
x=-3 (or) x=-5
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