Solve r^232-5-9 - ScanMath

Question

Simplify the expression

32 r^{2} - 14

Evaluate

r^{2} \times 32 - 5 - 9

Use the commutative property to reorder the terms

32 r^{2} - 5 - 9

Solution

32 r^{2} - 14

Show Solution

2 (16 r^{2} - 7)

Evaluate

r^{2} \times 32 - 5 - 9

Use the commutative property to reorder the terms

32 r^{2} - 5 - 9

Subtract the numbers

32 r^{2} - 14

Solution

2 (16 r^{2} - 7)

Show Solution

r_{1} = - \frac{7}{4}, r_{2} = \frac{7}{4}

Alternative Form

r_{1} \approx - 0.661438, r_{2} \approx 0.661438

Evaluate

r^{2} \times 32 - 5 - 9

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

r^{2} \times 32 - 5 - 9 = 0

Use the commutative property to reorder the terms

32 r^{2} - 5 - 9 = 0

Subtract the numbers

32 r^{2} - 14 = 0

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

32 r^{2} = 0 + 14

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

32 r^{2} = 14

Divide both sides

\frac{32 r ^{2}}{32} = \frac{14}{32}

Divide the numbers

r^{2} = \frac{14}{32}

Cancel out the common factor 2

r^{2} = \frac{7}{16}

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

r = \pm \frac{7}{16}

Simplify the expression

More Steps

Evaluate

\frac{7}{16}

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

\frac{7}{16}

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{7}{4}

r = \pm \frac{7}{4}

Separate the equation into 2 possible cases

r = \frac{7}{4} r = - \frac{7}{4}

Solution

r_{1} = - \frac{7}{4}, r_{2} = \frac{7}{4}

Alternative Form

r_{1} \approx - 0.661438, r_{2} \approx 0.661438

Show Solution