Question
Solve the equation:- x² − 9x + 20 = 0, What is
the larger root?Solution
ATQ, x² − 9x + 20 = 0 Factorize: We need two numbers whose product is 20 and sum is 9 → 5 and 4 So x² − 9x + 20 = x² − 5x − 4x + 20 = x(x − 5) − 4(x − 5) = (x − 5)(x − 4) = 0 Thus x = 5 or x = 4 Larger root = 5
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