The Quadratic Formula: System of equations with no solution

Question 1

$$ x^2+9=0 $$

Solve the equation

Question 2

Solve the following equation:

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

Question 3

Solve the following equation:

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

Question 4

Solve the following equation:

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

Question 5

Solve the following equation:

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

Examples with solutions for The Quadratic Formula: System of equations with no solution

Exercise #1

$x^2+9=0$

Solve the equation

Video Solution

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)

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.

Answer

No solution

Exercise #2

Solve the following equation:

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

Video Solution

Answer

No solution

Exercise #3

Solve the following equation:

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

Video Solution

Answer

No solution

Exercise #4

Solve the following equation:

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

Video Solution

Answer

No solution

Exercise #5

Solve the following equation:

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

Video Solution

Answer

No solution

Question 1

Solve the following equation:

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

Question 2

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

Question 3

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

Solve the equation

Question 4

Solve the equation

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

Question 5

Solve the following equation:

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

Exercise #6

Solve the following equation:

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

Video Solution

Answer

No solution

Exercise #7

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

Video Solution

Answer

No solution

Exercise #8

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

Solve the equation

Video Solution

Answer

No solution

Exercise #9

Solve the equation

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

Video Solution

Answer

No solution

Exercise #10

Solve the following equation:

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

Video Solution

Answer

No solution

Question 1

Solve the following equation:

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

Question 2

Solve the following equation:

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

Question 3

Solve the following equation:

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

Question 4

Solve the following equation:

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

Question 5

Given the following equation, find its solution

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

Exercise #11

Solve the following equation:

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

Video Solution

Answer

No solution

Exercise #12

Solve the following equation:

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

Video Solution

Answer

No solution

Exercise #13

Solve the following equation:

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

Video Solution

Answer

No solution

Exercise #14

Solve the following equation:

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

Video Solution

Answer

No solution

Exercise #15

Given the following equation, find its solution

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

Video Solution

Answer

No solution

Question 1

Solve the following equation:

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

Exercise #16

Solve the following equation:

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

Video Solution

Answer

No solution