Question

solve quadratic equation and give your answers correct to two decimal places: 5x (x+2)=3

Answer 1

Given:

5x(x+2)=3

To Find:

Solve given quadratic equation and give your answers correct to two decimal places?

Solution:

given that- 5x(x+2)=3

on solving it, we get

$5x(x+2)=3\\5x^2+10x=3\\5x^2+10x-3=0$

since, it is standard quadratic equation so, on solving for x by formula

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}$

on putting a , b and c, we have

$x=\dfrac{-10\pm\sqrt{100+60} }{2\times5}\\\\x=\dfrac{-10\pm4\sqrt{10} }{10}\\\\x=-1\pm\dfrac{4}{\sqrt{10} }$

Hence, $x=-1\pm1.264911$

or, $x = -2.264911 \ and \ x = 0.264911$.

Answer 2

hope this helps

Please mark it as brainly