Solve 1920-24v^2 - ScanMath

Question

Factor the expression

24 (80 - v^{2})

Evaluate

1920 - 24 v^{2}

Solution

24 (80 - v^{2})

Show Solution

v_{1} = - 45, v_{2} = 45

Alternative Form

v_{1} \approx - 8.944272, v_{2} \approx 8.944272

Evaluate

1920 - 24 v^{2}

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

1920 - 24 v^{2} = 0

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

- 24 v^{2} = 0 - 1920

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

- 24 v^{2} = - 1920

Change the signs on both sides of the equation

24 v^{2} = 1920

Divide both sides

\frac{24 v ^{2}}{24} = \frac{1920}{24}

Divide the numbers

v^{2} = \frac{1920}{24}

Divide the numbers

More Steps

Evaluate

\frac{1920}{24}

Reduce the numbers

\frac{80}{1}

Calculate

80

v^{2} = 80

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

v = \pm 80

Simplify the 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

v = \pm 45

Separate the equation into 2 possible cases

v = 45 v = - 45

Solution

v_{1} = - 45, v_{2} = 45

Alternative Form

v_{1} \approx - 8.944272, v_{2} \approx 8.944272

Show Solution