Question

find roots of quadratic equation x^2=5x

Answer 1

We have,

x²=5x

We obtain:

$\implies \: \huge{\boxed{ \sf{x {}^{2} - 5x} = 0 }}$

From the equation,

Taking x common,

x(x-5)=0

Implies,

→x=0 or x-5=0

i.e,

→x=0 or x=5

»The roots of the equation are 0 and 5

Answer 2

Question :

Find roots of quadratic equation $x^2=5x$

Solution :

$\underline{\bold {Given:}}$

• $x^2=5x$

$\underline{\bold {To\:Find:}}$

• Roots of quadratic equation $x^2=5x$

1) By subtracting 5x from both sides :

$\implies x^2 = 5x \\ \implies x^2 - 5x= 5x - 5x\\ \implies x^2 - 5x = 0$

2) Taking x as common :

$\implies x(x-5)=0\\\implies x=0\: or\:x- 5=0\\\implies x=0\:or\:x=0+5\\\implies x=0\:or\:x=5$

$\boxed{\green{\therefore{The\: roots\:of\:the\:equation\: are\: 0 \:and \:5.}}}$

$\underline {\bold {Verification:}}</p><p>$

If taking 0 as the root of the equation :

$\implies x(x-5)=0\\\implies 0 (0-5)=0\\\implies 0\times (-5)=0\\\implies 0=0$

If taking 5 as the root of the equation :

$\implies x(x-5)=0\\\implies 0 (5-5)=0\\\implies 0\times 0=0\\\implies 0=0$

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