Solve y ^ 2 - 1 / 2 y 1 / 16

Question

Simplify the expression

y^{2} - \frac{1}{32} y

Evaluate

y^{2} - \frac{1}{2} y \times \frac{1}{16}

Solution

More Steps

Evaluate

\frac{1}{2} \times \frac{1}{16}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{2 \times 16}

Multiply the numbers

\frac{1}{32}

y^{2} - \frac{1}{32} y

Show Solution

\frac{1}{32} y (32 y - 1)

Evaluate

y^{2} - \frac{1}{2} y \times \frac{1}{16}

Multiply the terms

More Steps

Evaluate

\frac{1}{2} \times \frac{1}{16}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{2 \times 16}

Multiply the numbers

\frac{1}{32}

y^{2} - \frac{1}{32} y

Rewrite the expression

\frac{1}{32} y \times 32 y - \frac{1}{32} y

Solution

\frac{1}{32} y (32 y - 1)

Show Solution

y_{1} = 0, y_{2} = \frac{1}{32}

Alternative Form

y_{1} = 0, y_{2} = 0.03125

Evaluate

y^{2} - \frac{1}{2} y \times \frac{1}{16}

To find the roots of the expression,set the expression equal to 0

y^{2} - \frac{1}{2} y \times \frac{1}{16} = 0

Multiply the terms

More Steps

Multiply the terms

\frac{1}{2} y \times \frac{1}{16}

Multiply the terms

More Steps

Evaluate

\frac{1}{2} \times \frac{1}{16}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{2 \times 16}

Multiply the numbers

\frac{1}{32}

\frac{1}{32} y

y^{2} - \frac{1}{32} y = 0

Factor the expression

More Steps

Evaluate

y^{2} - \frac{1}{32} y

Rewrite the expression

\frac{1}{32} y \times 32 y - \frac{1}{32} y

Factor out \frac{1}{32} y from the expression

\frac{1}{32} y (32 y - 1)

\frac{1}{32} y (32 y - 1) = 0

When the product of factors equals 0,at least one factor is 0

\frac{1}{32} y = 0 32 y - 1 = 0

Solve the equation for y

y = 0 32 y - 1 = 0

Solve the equation for y

More Steps

Evaluate

32 y - 1 = 0

Move the constant to the right-hand side and change its sign

32 y = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

32 y = 1

Divide both sides

\frac{32 y}{32} = \frac{1}{32}

Divide the numbers

y = \frac{1}{32}

y = 0 y = \frac{1}{32}

Solution

y_{1} = 0, y_{2} = \frac{1}{32}

Alternative Form

y_{1} = 0, y_{2} = 0.03125

Show Solution