Solve the Equation: x² + 9 = 0 Step-by-Step

Question

$x^2+9=0$

Solve the equation

00:00 Find X

00:03 Isolate X

00:08 Every number squared is greater than 0

00:14 Minus 9 is negative, therefore there is no solution

00:18 And this is the solution to the question

The parameters are expressed in the quadratic equation as follows:

aX2+bX+c=0

We identify that we have:
a=1
b=0
c=9

We recall the root formula:

$Roots formula | The version$

We replace according to the formula:

-0 ± √(0²-4*1*9)

We will focus on the part inside the square root (also called delta)

√(0-4*1*9)

√(0-36)

√-36

It is not possible to take the square root of a negative number.

And so the question has no solution.

No solution