Solve 9-25x^2 - ScanMath

Question

Factor the expression

(3 - 5 x) (3 + 5 x)

Evaluate

9 - 25 x^{2}

Rewrite the expression in exponential form

3^{2} - (5 x)^{2}

Solution

(3 - 5 x) (3 + 5 x)

Show Solution

x_{1} = - \frac{3}{5}, x_{2} = \frac{3}{5}

Alternative Form

x_{1} = - 0.6, x_{2} = 0.6

Evaluate

9 - 25 x^{2}

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

9 - 25 x^{2} = 0

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

- 25 x^{2} = 0 - 9

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

- 25 x^{2} = - 9

Change the signs on both sides of the equation

25 x^{2} = 9

Divide both sides

\frac{25 x ^{2}}{25} = \frac{9}{25}

Divide the numbers

x^{2} = \frac{9}{25}

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

x = \pm \frac{9}{25}

Simplify the expression

More Steps

Evaluate

\frac{9}{25}

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

\frac{9}{25}

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}{25}

Simplify the radical expression

More Steps

Evaluate

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{3}{5}

x = \pm \frac{3}{5}

Separate the equation into 2 possible cases

x = \frac{3}{5} x = - \frac{3}{5}

Solution

x_{1} = - \frac{3}{5}, x_{2} = \frac{3}{5}

Alternative Form

x_{1} = - 0.6, x_{2} = 0.6

Show Solution