Solve s^45 = s s-7

Evaluate

s^{4} \times 5 = s \times s - 7

Use the commutative property to reorder the terms

5 s^{4} = s \times s - 7

Multiply the terms

5 s^{4} = s^{2} - 7

Move the expression to the left side

5 s^{4} - (s^{2} - 7) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

5 s^{4} - s^{2} + 7 = 0

Solve the equation using substitution t = s^{2}

5 t^{2} - t + 7 = 0

Substitute a= 5,b= - 1 and c= 7 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{1 \pm ( - 1 ) ^{2} - 4 \times 5 \times 7}{2 \times 5}

Simplify the expression

t = \frac{1 \pm ( - 1 ) ^{2} - 4 \times 5 \times 7}{10}

Simplify the expression

More Steps

t = \frac{1 \pm - 139}{10}

The expression is undefined in the set of real numbers

t \in / R

Solution

s \in / R

Alternative Form

No real solution

Solve the equation

Graph