Solve d^2-40 - ScanMath

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Type your math problem... d^2-40

Question

Find the roots

d_{1} = - 210, d_{2} = 210

Alternative Form

d_{1} \approx - 6.324555, d_{2} \approx 6.324555

Evaluate

d^{2} - 40

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

d^{2} - 40 = 0

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

d^{2} = 0 + 40

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

d^{2} = 40

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

d = \pm 40

Simplify the expression

More Steps

Evaluate

40

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

4 \times 10

Write the number in exponential form with the base of 2

2^{2} \times 10

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

2^{2} \times 10

Reduce the index of the radical and exponent with 2

210

d = \pm 210

Separate the equation into 2 possible cases

d = 210 d = - 210

Solution

d_{1} = - 210, d_{2} = 210

Alternative Form

d_{1} \approx - 6.324555, d_{2} \approx 6.324555

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