What are the solutions to the equation 3 1/5 x^2 5/8 =8 2/5 ?

The solutions to the equation 3 1/5 x^2 5/8 =8 2/5 are x=sqrt(21/5),x=-sqrt(21/5)

Find the zeros of 3 1/5 x^2 5/8 =8 2/5

The zeros of 3 1/5 x^2 5/8 =8 2/5 are x=sqrt(21/5),x=-sqrt(21/5)

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3 \frac{1}{5} x^{2} \frac{5}{8} = 8 \frac{2}{5}

x = \frac{21}{5}, x = - \frac{21}{5}

Decimal

x = 2.04939 \dots, x = - 2.04939 \dots

Solution steps

3 \frac{1}{5} x^{2} \frac{5}{8} = 8 \frac{2}{5}

Convert mixed numbers to improper fractions:

3 \frac{1}{5} = \frac{16}{5}

\frac{16}{5} x^{2} \frac{5}{8} = 8 \frac{2}{5}

Convert mixed numbers to improper fractions:

8 \frac{2}{5} = \frac{42}{5}

\frac{16}{5} x^{2} \frac{5}{8} = \frac{42}{5}

Divide both sides by

\frac{16}{5} \cdot \frac{5}{8}

x^{2} = \frac{21}{5}

For

x^{2} = f (a)

the solutions are

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

x = \frac{21}{5}, x = - \frac{21}{5}

3 x^{2} + 10 x = - 8

x^{2} = 4 x - 8

x^{2} + 3 x = - 7

3 x^{2} + 1 = 73

3 x^{2} + 1 = 6 x

What are the solutions to the equation 3 1/5 x^2 5/8 =8 2/5 ?
The solutions to the equation 3 1/5 x^2 5/8 =8 2/5 are x=sqrt(21/5),x=-sqrt(21/5)
Find the zeros of 3 1/5 x^2 5/8 =8 2/5
The zeros of 3 1/5 x^2 5/8 =8 2/5 are x=sqrt(21/5),x=-sqrt(21/5)