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

x2+9=0 x^2+9=0

Solve the equation

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

x2+9=0 x^2+9=0

Solve the equation

2

Step-by-step solution

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)

2

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.

3

Final Answer

No solution

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

\( 2x^2-10x-12=0 \)

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