What is factor-1/2 y^2+9/8 ?

The solution to factor-1/2 y^2+9/8 is -(sqrt(1/2)y+(3sqrt(2))/4)(sqrt(1/2)y-(3sqrt(2))/4)

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factor-1/2 y^2+9/8

factor

- \frac{1}{2} y^{2} + \frac{9}{8}

- (\frac{1}{2} y + \frac{3 2}{4}) (\frac{1}{2} y - \frac{3 2}{4})

Solution steps

- \frac{1}{2} y^{2} + \frac{9}{8}

Factor out common term

- 1

= - (\frac{y ^{2}}{2} - \frac{9}{8})

Factor

\frac{y ^{2}}{2} - \frac{9}{8} : (\frac{1}{2} y + \frac{9}{8}) (\frac{1}{2} y - \frac{9}{8})

= - (\frac{1}{2} y + \frac{9}{8}) (\frac{1}{2} y - \frac{9}{8})

Refine

= - (\frac{1}{2} y + \frac{3}{2 2}) (\frac{1}{2} y - \frac{3}{2 2})

\frac{3}{2 2} = \frac{3 2}{4}

= - (\frac{1}{2} y + \frac{3 2}{4}) (\frac{1}{2} y - \frac{3}{2 2})

\frac{3}{2 2} = \frac{3 2}{4}

= - (\frac{1}{2} y + \frac{3 2}{4}) (\frac{1}{2} y - \frac{3 2}{4})

\frac{x}{2} + \frac{x}{3} + \frac{x}{4} + \frac{x}{6} = 30

- 15 x + 60 \leq 105

n^{2} - 13 n + 42

7 x + 3 = 8 x + 1

\frac{x + 1}{3 x + 5} \leq 1

What is factor-1/2 y^2+9/8 ?
The solution to factor-1/2 y^2+9/8 is -(sqrt(1/2)y+(3sqrt(2))/4)(sqrt(1/2)y-(3sqrt(2))/4)