Quadratic equation

Determine the numbers b and c such that x₁ = -8 and x₂ = -1 are roots of the quadratic equation:

−3x2+bx+c=0

Final Answer:

b =  -27
c =  -24

Step-by-step explanation:

a x2+b x+c=0 a=−3 x1​=−8 x2​=−1  a x2+b x+c = a(x−x1​)⋅ (x−x2​)=0 b=−a⋅ x1​−a⋅ x2​=−(−3)⋅ (−8)−(−3)⋅ (−1)=−27
c=a⋅ x1​⋅ x2​=(−3)⋅ (−8)⋅ (−1)=−24

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