Question

FInd the solution of x square +5x+5=0 if x is a rational number

Answer 1

x square +5x+5=0
then..
x=-1/2 nd -9/2

Answer 2

Answer:

$\text{The solution are }\frac{-5+ \sqrt{5}}{2}, \frac{-5- \sqrt{5}}{2}$

Step-by-step explanation:

we have to find the solution of $x^2+5x+5=0$ if x is a rational number.

$x^2+5x+5=0$

Comparing above equation with $ax^2+bx+c=0$, we get

a=1, b=5 and c=5

Solving by discriminant method,  

The solution is

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

Equation: $x^2+5x+5=0$

a=1, b=5 and c=5

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

$=\frac{-5\pm \sqrt{5}}{2}$

$\text{The solution are }\frac{-5+ \sqrt{5}}{2}, \frac{-5- \sqrt{5}}{2}$