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Find the roots of the quadratic equation x² - 9x + 20 = 0.
4, 5
-4, -5
4, -5
-4, 5
4, 5
A is correct because the roots are 4 and 5.
Factor the Equation
We need two numbers whose product is 20 and sum is −9. These are −4 and −5.
(x−4)(x−5)=0
Solve for x
Setting each factor to zero: x−4=0⟹x=4 and x−5=0⟹x=5.
x=4,x=5
A is correct because the roots are 4 and 5.