Solve t^278-1 - ScanMath

Evaluate

t^{2} \times 78 - 1

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

t^{2} \times 78 - 1 = 0

Use the commutative property to reorder the terms

78 t^{2} - 1 = 0

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

78 t^{2} = 0 + 1

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

78 t^{2} = 1

Divide both sides

\frac{78 t ^{2}}{78} = \frac{1}{78}

Divide the numbers

t^{2} = \frac{1}{78}

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

t = \pm \frac{1}{78}

Simplify the expression

More Steps

t = \pm \frac{78}{78}

Separate the equation into 2 possible cases

t = \frac{78}{78} t = - \frac{78}{78}

Solution

t_{1} = - \frac{78}{78}, t_{2} = \frac{78}{78}

Alternative Form

t_{1} \approx - 0.113228, t_{2} \approx 0.113228

Simplify the expression