Question

5x²+5x-1 =0solve the equation using formula method​

Answer 1

ANSWER:

Given:

• 5x^2 + 5x - 1 = 0

To Find:

• Value of x

Solution:

We are given that,

$\implies 5x^2+5x-1=0$

We know that, by Quadratic Formula,

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

Here,

a = 5

b = 5

c = -1

So,

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

$\implies x=\dfrac{-5\pm\sqrt{5^2-4(5)(-1)}}{2(5)}$

$\implies x=\dfrac{-5\pm\sqrt{25+20}}{10}$

$\implies x=\dfrac{-5\pm\sqrt{45}}{10}$

$\implies\bf x=\dfrac{-5\pm3\sqrt{5}}{10}$

Therefore value of x is (-5 + 3√5)/10 and (-5 - 3√5)/10.

Formula Used:

• Quadratic Formula : $\hookrightarrow x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$