Question

find the square of ( 7 m2- 9 n)2​

Answer 1

Step-by-step explanation:

Solution

m2−3m−1=0 

m2−3m=1 → (1)

Third term =(21coeeficientofm)2

(21×(−3))2=(2−3)2=49

Adding 49 to both sides of equation (1), we get

m2−3m+49=1+49

∴ m2−3m+49=44+9

∴ (m−23)2=413

Taking square roots on both sides

∴ m−23=±2

∴ m−23=±213

∴ m=23+213 or m=23−213

m=23+13,23−13 are the roots of the given quadratic equation.

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