Solve 28 - 75 g^2

Question

Find the roots

g_{1} = - \frac{2 21}{15}, g_{2} = \frac{2 21}{15}

Alternative Form

g_{1} \approx - 0.61101, g_{2} \approx 0.61101

Evaluate

28 - 75 g^{2}

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

28 - 75 g^{2} = 0

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

- 75 g^{2} = 0 - 28

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

- 75 g^{2} = - 28

Change the signs on both sides of the equation

75 g^{2} = 28

Divide both sides

\frac{75 g ^{2}}{75} = \frac{28}{75}

Divide the numbers

g^{2} = \frac{28}{75}

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

g = \pm \frac{28}{75}

Simplify the expression

More Steps

g = \pm \frac{2 21}{15}

Separate the equation into 2 possible cases

g = \frac{2 21}{15} g = - \frac{2 21}{15}

Solution

g_{1} = - \frac{2 21}{15}, g_{2} = \frac{2 21}{15}

Alternative Form

g_{1} \approx - 0.61101, g_{2} \approx 0.61101

Show Solution