The Quadratic Formula: System of equations with no solution

$x^2+9=0$

Solve the equation

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:

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.

No solution

Solve the following equation:

$x^2-2x+8=0$

No solution

Solve the following equation:

$x^2+3x+7=0$

No solution

$x^2+5x+10=0$

No solution

Solve the following equation:

$-x^2+6x-10=0$

No solution

Solve the following equation:

$2x^2-3x+5=0$

No solution

Solve the following equation:

$-2x^2-5x-9=0$

No solution

$-5x^2-2x-8=0$

Solve the equation

No solution

Solve the following equation:

$-6x^2+12x-14=0$

No solution

Solve the equation

$3x^2-9x+12=0$

No solution

Solve the following equation:

$x^2+3x+2\frac{1}{2}=0$

No solution

Solve the following equation:

$5x^2+1\frac{1}{2}x+1=0$

No solution

Solve the following equation:

$\frac{x^2}{2}-x+\frac{2}{3}=0$

No solution

Solve the following equation:

$\frac{x^2}{2}+\frac{x}{4}+1=0$

No solution

Given the following equation, find its solution

$7x^2+3x+8=9x+3$

No solution

Solve the following equation:

$x^2+3x-4=2x^2$

No solution