Solve d^24-102001

Question

Simplify the expression

4 d^{2} - 102001

Evaluate

d^{2} \times 4 - 102001

Solution

4 d^{2} - 102001

Show Solution

d_{1} = - \frac{102001}{2}, d_{2} = \frac{102001}{2}

Alternative Form

d_{1} \approx - 159.687977, d_{2} \approx 159.687977

Evaluate

d^{2} \times 4 - 102001

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

d^{2} \times 4 - 102001 = 0

Use the commutative property to reorder the terms

4 d^{2} - 102001 = 0

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

4 d^{2} = 0 + 102001

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

4 d^{2} = 102001

Divide both sides

\frac{4 d ^{2}}{4} = \frac{102001}{4}

Divide the numbers

d^{2} = \frac{102001}{4}

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

d = \pm \frac{102001}{4}

Simplify the expression

More Steps

Evaluate

\frac{102001}{4}

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

\frac{102001}{4}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{102001}{2}

d = \pm \frac{102001}{2}

Separate the equation into 2 possible cases

d = \frac{102001}{2} d = - \frac{102001}{2}

Solution

d_{1} = - \frac{102001}{2}, d_{2} = \frac{102001}{2}

Alternative Form

d_{1} \approx - 159.687977, d_{2} \approx 159.687977

Show Solution