What are the solutions to the equation factor 5x^2-18=0 ?

The solutions to the equation factor 5x^2-18=0 are x=-(3sqrt(2))/(sqrt(5)),x=(3sqrt(2))/(sqrt(5))

Find the zeros of factor 5x^2-18=0

The zeros of factor 5x^2-18=0 are x=-(3sqrt(2))/(sqrt(5)),x=(3sqrt(2))/(sqrt(5))

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5 x^{2} - 18 = 0

x = - \frac{3 2}{5}, x = \frac{3 2}{5}

Decimal Notation

x = - 1.89736 \dots, x = 1.89736 \dots

Solution steps

5 x^{2} - 18 = 0

Factor

5 x^{2} - 18 : (5 x + 32) (5 x - 32)

(5 x + 32) (5 x - 32) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 x + 32 = 0 or 5 x - 32 = 0

Solve

5 x + 32 = 0 : x = - \frac{3 2}{5}

Solve

5 x - 32 = 0 : x = \frac{3 2}{5}

The solutions to the quadratic equation are:

x = - \frac{3 2}{5}, x = \frac{3 2}{5}

- 3 x^{2} + 24 x = 15

\frac{5}{4} q^{2} = - \frac{5}{4}

100 r^{2} - 5 = 76

3 x^{2} = - 8 x

2 (x + 1)^{2} - 3 = (x - 2) (x + 2)

What are the solutions to the equation factor 5x^2-18=0 ?
The solutions to the equation factor 5x^2-18=0 are x=-(3sqrt(2))/(sqrt(5)),x=(3sqrt(2))/(sqrt(5))
Find the zeros of factor 5x^2-18=0
The zeros of factor 5x^2-18=0 are x=-(3sqrt(2))/(sqrt(5)),x=(3sqrt(2))/(sqrt(5))