Solve g^280-9 - ScanMath

Question

Simplify the expression

80 g^{2} - 9

Evaluate

g^{2} \times 80 - 9

Solution

80 g^{2} - 9

Show Solution

g_{1} = - \frac{3 5}{20}, g_{2} = \frac{3 5}{20}

Alternative Form

g_{1} \approx - 0.33541, g_{2} \approx 0.33541

Evaluate

g^{2} \times 80 - 9

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

g^{2} \times 80 - 9 = 0

Use the commutative property to reorder the terms

80 g^{2} - 9 = 0

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

80 g^{2} = 0 + 9

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

80 g^{2} = 9

Divide both sides

\frac{80 g ^{2}}{80} = \frac{9}{80}

Divide the numbers

g^{2} = \frac{9}{80}

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

g = \pm \frac{9}{80}

Simplify the expression

More Steps

Evaluate

\frac{9}{80}

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

\frac{9}{80}

Simplify the radical expression

More Steps

Evaluate

9

Write the number in exponential form with the base of 3

3^{2}

Reduce the index of the radical and exponent with 2

3

\frac{3}{80}

Simplify the radical expression

More Steps

Evaluate

80

Write the expression as a product where the root of one of the factors can be evaluated

16 \times 5

Write the number in exponential form with the base of 4

4^{2} \times 5

The root of a product is equal to the product of the roots of each factor

4^{2} \times 5

Reduce the index of the radical and exponent with 2

45

\frac{3}{4 5}

Multiply by the Conjugate

\frac{3 5}{4 5 \times 5}

Multiply the numbers

More Steps

Evaluate

45 \times 5

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

4 \times 5

Multiply the terms

20

\frac{3 5}{20}

g = \pm \frac{3 5}{20}

Separate the equation into 2 possible cases

g = \frac{3 5}{20} g = - \frac{3 5}{20}

Solution

g_{1} = - \frac{3 5}{20}, g_{2} = \frac{3 5}{20}

Alternative Form

g_{1} \approx - 0.33541, g_{2} \approx 0.33541

Show Solution