The roots of a quadratic equation are -3 and 1. Find its ...
The roots of a quadratic equation are -3 and 1. Find its equation.
x2−3x+1=0
x2−2x+1=0
x2+2x−3=0
x2+x−3=0
Correct answer is C
Given the roots of an equation such that you can find the sum and product of the roots, the equation can be given as:
x2−(α+β)x+(αβ)=0
α+β=−3+1=−2
αβ=−3×1=−3
Equation: x2−(−2)x+(−3)=0⟹x2+2x−3=0
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