Solve m^2 17-16 - ScanMath

Question

Simplify the expression

17 m^{2} - 16

Evaluate

m^{2} \times 17 - 16

Solution

17 m^{2} - 16

Show Solution

m_{1} = - \frac{4 17}{17}, m_{2} = \frac{4 17}{17}

Alternative Form

m_{1} \approx - 0.970143, m_{2} \approx 0.970143

Evaluate

m^{2} \times 17 - 16

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

m^{2} \times 17 - 16 = 0

Use the commutative property to reorder the terms

17 m^{2} - 16 = 0

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

17 m^{2} = 0 + 16

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

17 m^{2} = 16

Divide both sides

\frac{17 m ^{2}}{17} = \frac{16}{17}

Divide the numbers

m^{2} = \frac{16}{17}

Take the root of both sides of the equation and remember to use both positive and negative roots

m = \pm \frac{16}{17}

Simplify the expression

More Steps

Evaluate

\frac{16}{17}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{16}{17}

Simplify the radical expression

More Steps

Evaluate

16

Write the number in exponential form with the base of 4

4^{2}

Reduce the index of the radical and exponent with 2

4

\frac{4}{17}

Multiply by the Conjugate

\frac{4 17}{17 \times 17}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{4 17}{17}

m = \pm \frac{4 17}{17}

Separate the equation into 2 possible cases

m = \frac{4 17}{17} m = - \frac{4 17}{17}

Solution

m_{1} = - \frac{4 17}{17}, m_{2} = \frac{4 17}{17}

Alternative Form

m_{1} \approx - 0.970143, m_{2} \approx 0.970143

Show Solution