Question

Solve the equation x²+x+5=0 by using quadratic formula​

Answer 1

Answer:

a =1 , b= 1, c= 5

x= { -b + $\sqrt{ }$ ($b^{2}$-4ac)} / 2a

x={ -1 + $\sqrt{ }$ -19} /2

this equation does not have any roots because $\sqrt{ }$ -19

all it has is an imagery roots

Answer 2

Answer:

This equation has no solution

Step-by-step explanation:

This is a quadratic equation with $a=1,\ b=1,\ c=5$  , where $ax^{2} +bx+c=0$

is the general form of the polynomial . An equation which contains the term of $x^{2}$ is called a quadratic equation. It has two solutions which can be found by the following three methods

1. Using quadratic formula.
2. by factorization method
3. completing the square method.

And these solutions are called the roots or zeroes of the quadratic equation .

In this question, we use the method by using quadratic formula.

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

So first find value of the discriminant ,

$b^{2} -4ac=1^{2} -4(1)(5)$

             $=1-20=-19$

since the discriminant is less than zero, this equation has no solution .

Hence the  answer.

thank you