What are the solutions to the equation 14/15-2/3 x^2=-127/30 ?

The solutions to the equation 14/15-2/3 x^2=-127/30 are x=(sqrt(31))/2 ,x=-(sqrt(31))/2

Find the zeros of 14/15-2/3 x^2=-127/30

The zeros of 14/15-2/3 x^2=-127/30 are x=(sqrt(31))/2 ,x=-(sqrt(31))/2

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\frac{14}{15} - \frac{2}{3} x^{2} = - \frac{127}{30}

x = \frac{31}{2}, x = - \frac{31}{2}

Decimal Notation

x = 2.78388 \dots, x = - 2.78388 \dots

Solution steps

\frac{14}{15} - \frac{2}{3} x^{2} = - \frac{127}{30}

Move

\frac{14}{15}

to the right side

- \frac{2}{3} x^{2} = - \frac{127}{30} - \frac{14}{15}

Simplify

- \frac{127}{30} - \frac{14}{15} : - \frac{31}{6}

- \frac{2}{3} x^{2} = - \frac{31}{6}

Multiply both sides by

3

- 2 x^{2} = - \frac{31}{2}

Divide both sides by

- 2

x^{2} = \frac{31}{4}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = \frac{31}{4}, x = - \frac{31}{4}

\frac{31}{4} = \frac{31}{2}

- \frac{31}{4} = - \frac{31}{2}

x = \frac{31}{2}, x = - \frac{31}{2}

x^{2} - 2 x + 4 = 0

x^{2} - 30 x + 250

3^{2} + 9^{2} = c^{2}

4 = (x - 1)^{2}

(2 x - 5) (x + 1) = 0

What are the solutions to the equation 14/15-2/3 x^2=-127/30 ?
The solutions to the equation 14/15-2/3 x^2=-127/30 are x=(sqrt(31))/2 ,x=-(sqrt(31))/2
Find the zeros of 14/15-2/3 x^2=-127/30
The zeros of 14/15-2/3 x^2=-127/30 are x=(sqrt(31))/2 ,x=-(sqrt(31))/2