Solve thequadratic equation x2 + 6x = 0by perfect square method.Q.7.

1.	Solve thequadratic equation x2 + 6x = 0by perfect square method.Q.7.
Answer» Givenx^2 + 6x=0 Ifx^2and6xare the first two terms of a squared binomial:(x+a)^2=(x^2+2ax+a^2) Then (since2ax=6ax)=> a=3and the third term must bea^2=9 So we need to add9(to both sides) to "complete the square"x^2+6x+9=9 Rewriting as a squared binomial(x+3)^2=9 Taking the square root of both sidesx+3=±√9=±3 x=6orx=0 (Note that, in this case, the solution would be simpler to determine by factoring). but ye question me yhiii formula uss krrke bnaynge yaa firre factorize krrkke bnaa sakte haiii i am confused pllzz???

Answer»

Givenx^2 + 6x=0

Ifx^2and6xare the first two terms of a squared binomial:(x+a)^2=(x^2+2ax+a^2)

Then (since2ax=6ax)=> a=3and the third term must bea^2=9

So we need to add9(to both sides) to "complete the square"x^2+6x+9=9

Rewriting as a squared binomial(x+3)^2=9

Taking the square root of both sidesx+3=±√9=±3

x=6orx=0

(Note that, in this case, the solution would be simpler to determine by factoring).

but ye question me yhiii formula uss krrke bnaynge yaa firre factorize krrkke bnaa sakte haiii i am confused pllzz???

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