X2=81 Solve the following quadratic equation by extracting square roots
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Given : x² = 81
To Find : roots of quadratic equation by extracting the square roots
Solution:
x² = 81
Taking Square root both sides
=> x = ± √81
=> x = ± 9
Hence roots are 9 , -9
or x² = 81
=> x² - 81 = 0
=> ( x)² - 9² = 0
=> ( x + 9)(x - 9) = 0
=> x =-9 , 9
Check root
x² = 81
9² = 81 verified
(-9)² = 81 verified
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