What are the solutions to the equation 1 4/15-2/3 x^2=-12 7/30 ?

The solutions to the equation 1 4/15-2/3 x^2=-12 7/30 are x=4 1/2 ,x=-4 1/2

Find the zeros of 1 4/15-2/3 x^2=-12 7/30

The zeros of 1 4/15-2/3 x^2=-12 7/30 are x=4 1/2 ,x=-4 1/2

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1 \frac{4}{15} - \frac{2}{3} x^{2} = - 12 \frac{7}{30}

x = 4 \frac{1}{2}, x = - 4 \frac{1}{2}

Decimal Notation

x = 4.5, x = - 4.5

Solution steps

1 \frac{4}{15} - \frac{2}{3} x^{2} = - 12 \frac{7}{30}

Convert mixed numbers to improper fractions:

1 \frac{4}{15} = \frac{19}{15}

\frac{19}{15} - \frac{2}{3} x^{2} = - 12 \frac{7}{30}

Convert mixed numbers to improper fractions:

12 \frac{7}{30} = \frac{367}{30}

\frac{19}{15} - \frac{2}{3} x^{2} = - \frac{367}{30}

Move

\frac{19}{15}

to the right side

- \frac{2}{3} x^{2} = - \frac{367}{30} - \frac{19}{15}

Simplify

- \frac{367}{30} - \frac{19}{15} : - \frac{27}{2}

- \frac{2}{3} x^{2} = - \frac{27}{2}

Multiply both sides by

3

- 2 x^{2} = - \frac{81}{2}

Divide both sides by

- 2

x^{2} = \frac{81}{4}

For

x^{2} = f (a)

the solutions are

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

x = \frac{81}{4}, x = - \frac{81}{4}

\frac{81}{4} = \frac{9}{2}

- \frac{81}{4} = - \frac{9}{2}

x = \frac{9}{2}, x = - \frac{9}{2}

Convert improper fractions to mixed numbers:

\frac{9}{2} = 4 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{9}{2} = 4 \frac{1}{2}

x = 4 \frac{1}{2}, x = - 4 \frac{1}{2}

4 x^{2} + 4 x + 1 = 16

2 x^{2} + 12 x - 80 = 0

3 x^{2} - 57 = 24 x - 9

x^{2} - 12 x + 35 = 3

What are the solutions to the equation 1 4/15-2/3 x^2=-12 7/30 ?
The solutions to the equation 1 4/15-2/3 x^2=-12 7/30 are x=4 1/2 ,x=-4 1/2
Find the zeros of 1 4/15-2/3 x^2=-12 7/30
The zeros of 1 4/15-2/3 x^2=-12 7/30 are x=4 1/2 ,x=-4 1/2