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Find the values of a ,b and c from the given quadratic equation x^2 + 8 x + 15,=0? |
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Answer» x=-5 or x=-3 Step-by-step explanation: The quadratic formula STATES: For a x 2 + b x + c = 0 , the values of x which are the solutions to the equation are given by: x = − b ± √ b 2 − ( 4 a c ) 2 ⋅ a
Substituting: 1 for a
8 for b
for c gives: x = − 8 ± √ 8 2 − ( 4 ⋅ 1 ⋅ 15 ) 2 ⋅ 1
x = − 8 ± √ 64 − 60 2
x = − 8 − √ 4 2 and x = − 8 + √ 4 2
x = − 8 − 2 2 and x = − 8 + 2 2
x = − 10 2 and x = − 6 2
x = − 5 and x = − 3
The Solution Set Is: x = { − 5 , − 3 } |
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