Solve d^2-75 - ScanMath

Calculator

Examples

DOWNLOAD FOR FREE

Example problems

Type your math problem... d^2-75

Question

Find the roots

d_{1} = - 53, d_{2} = 53

Alternative Form

d_{1} \approx - 8.660254, d_{2} \approx 8.660254

Evaluate

d^{2} - 75

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

d^{2} - 75 = 0

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

d^{2} = 0 + 75

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

d^{2} = 75

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

d = \pm 75

Simplify the expression

More Steps

Evaluate

75

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

25 \times 3

Write the number in exponential form with the base of 5

5^{2} \times 3

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

5^{2} \times 3

Reduce the index of the radical and exponent with 2

53

d = \pm 53

Separate the equation into 2 possible cases

d = 53 d = - 53

Solution

d_{1} = - 53, d_{2} = 53

Alternative Form

d_{1} \approx - 8.660254, d_{2} \approx 8.660254

Show Solution

English