Question

the roots of the quadratic equation x=98/2x is​

Answer 1

Given

$x=\frac{98}{2x}$

2x²=98

x²=49

x=√49

x=±7

∴x=7 and x=-7 are the roots of the quadtratic equation.

Answer 2

The roots of the quadratic equation are - 7 & 7

Given :

The equation x = 98/2x

To find :

The roots of the quadratic equation

Solution :

Step 1 of 2 :

Write down the given Quadratic equation

Here the given Quadratic equation is

$\displaystyle \sf{ x = \frac{98}{2x} }$

Step 2 of 2 :

Find the roots of the quadratic equation

$\displaystyle \sf{ x = \frac{98}{2x} }$

$\displaystyle \sf{ \implies 2 {x}^{2} = 98 }$

$\displaystyle \sf{ \implies {x}^{2} = 49 }$

$\displaystyle \sf{ \implies x = \pm \: \sqrt{49} }$

$\displaystyle \sf{ \implies x = \pm \: 7 }$

Hence roots of the quadratic equation are - 7 & 7

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