Question

Find the roots of x^2 - 10x + 9 using square method

Answer 1

x² -10x + 9 =0

x² -9x - x + 9 =0

x(x - 9) - 1 ( x - 9) =0

(x - 9)(x-1) =0.

x - 9 = 0

x = 9

and x - 1 = 0
x = 1

Answer 2

Hey Mate!
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Here is your answer :
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Given,

${x}^{2} - 10x + 9 = 0 \\ \\ {x}^{2} - 10x = - 9 \\ \\ add \: {5}^{2} on \: both \: sides \\ \\ {x}^{2} - 2x(5) + {5}^{2} = - 9 + {5}^{2} \\ \\ {(x - 5)}^{2} = - 9 + 25 \\ \\ {(x - 5)}^{2} = 16 \\ \\ x - 5 = + and \: - \sqrt{16} \\ \\ x - 5 = + and \: - 4 \\ \\ x = 4 + 5 \: \: \: x = - 4 + 5 \\ \\ x = 9 \: \: \: \: \: \: \: \: x = 1$

HOPE THIS HELPS U...