Question

simplify the following equations and check whether they are quadratic equation or not
a) x (x+6)=0
b) (x+2)(x-7)=5
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Answer 1

$a) x(x+6) = 0$

$\implies x^{2} + 6x = 0$

$Degree \: of \: equation = 2$

$\green { \therefore It \: is \: a \: Quadratic \: equation. }$

$b) (x+2)(x-7) = 0$

$\implies x(x-7)+2(x-7) = 0$

$\implies x^{2} - 7x + 2x - 14 = 0$

$\implies x^{2} - 5x - 14 = 0$

$Degree \: of \: equation = 2$

$\green { \therefore It \: is \: a \: Quadratic \: equation. }$

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Answer 2

Step-by-step explanation:

a)

x ( x+6)=0

x² +6x =0

yes ,it is quadratic equation.

b)

(x+2)(x-7) =0

x² -7x +2x -14=0

x²-5x -14 =0

yes,it is quadratic equation.

x² -( 7-2)x -14 =0

x² -7x +2x -14=0

x( x-7) +2( x-7)=0

( x+2) ( x-7)=0

x+2=0 ; x-7=0

x = -2 ; x =7

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