Solve t^2002 - 25

Question

Simplify the expression

2 t^{2} - 25

Evaluate

t^{2} \times 2 - 25

Solution

2 t^{2} - 25

Show Solution

t_{1} = - \frac{5 2}{2}, t_{2} = \frac{5 2}{2}

Alternative Form

t_{1} \approx - 3.535534, t_{2} \approx 3.535534

Evaluate

t^{2} \times 2 - 25

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

t^{2} \times 2 - 25 = 0

Use the commutative property to reorder the terms

2 t^{2} - 25 = 0

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

2 t^{2} = 0 + 25

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

2 t^{2} = 25

Divide both sides

\frac{2 t ^{2}}{2} = \frac{25}{2}

Divide the numbers

t^{2} = \frac{25}{2}

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

t = \pm \frac{25}{2}

Simplify the expression

More Steps

Evaluate

\frac{25}{2}

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

\frac{25}{2}

Simplify the radical expression

More Steps

Evaluate

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{5}{2}

Multiply by the Conjugate

\frac{5 2}{2 \times 2}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{5 2}{2}

t = \pm \frac{5 2}{2}

Separate the equation into 2 possible cases

t = \frac{5 2}{2} t = - \frac{5 2}{2}

Solution

t_{1} = - \frac{5 2}{2}, t_{2} = \frac{5 2}{2}

Alternative Form

t_{1} \approx - 3.535534, t_{2} \approx 3.535534

Show Solution