Solve 3-(4-3x)^2 - ScanMath

Question

Simplify the expression

- 13 + 24 x - 9 x^{2}

Evaluate

3 - (4 - 3 x)^{2}

Expand the expression

3 - 16 + 24 x - 9 x^{2}

Solution

- 13 + 24 x - 9 x^{2}

Show Solution

x_{1} = \frac{- 3 + 4}{3}, x_{2} = \frac{3 + 4}{3}

Alternative Form

x_{1} \approx 0.755983, x_{2} \approx 1.910684

Evaluate

3 - (4 - 3 x)^{2}

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

3 - (4 - 3 x)^{2} = 0

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

- (4 - 3 x)^{2} = 0 - 3

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

- (4 - 3 x)^{2} = - 3

Change the signs on both sides of the equation

(4 - 3 x)^{2} = 3

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

4 - 3 x = \pm 3

Separate the equation into 2 possible cases

4 - 3 x = 3 4 - 3 x = - 3

Calculate

More Steps

Evaluate

4 - 3 x = 3

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

- 3 x = 3 - 4

Change the signs on both sides of the equation

3 x = - 3 + 4

Divide both sides

\frac{3 x}{3} = \frac{- 3 + 4}{3}

Divide the numbers

x = \frac{- 3 + 4}{3}

x = \frac{- 3 + 4}{3} 4 - 3 x = - 3

Calculate

More Steps

Evaluate

4 - 3 x = - 3

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

- 3 x = - 3 - 4

Change the signs on both sides of the equation

3 x = 3 + 4

Divide both sides

\frac{3 x}{3} = \frac{3 + 4}{3}

Divide the numbers

x = \frac{3 + 4}{3}

x = \frac{- 3 + 4}{3} x = \frac{3 + 4}{3}

Solution

x_{1} = \frac{- 3 + 4}{3}, x_{2} = \frac{3 + 4}{3}

Alternative Form

x_{1} \approx 0.755983, x_{2} \approx 1.910684

Show Solution