Quadratic equation whose roots are 20 and 7
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Answer:
x² - 27x + 140 = 0
Step-by-step explanation:
Let α and β be the roots of the quadratic equation.
The quadratic equation will be of form
x² - (α + β)x + αβ = 0
Given, α = 20 ; β = 7
Sum of roots = α + β = 20 + 7 = 27
Product of roots = αβ = 20 * 7 = 140
Hence the quadratic equation becomes x² - 27x + 140 = 0
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