Solve 7x^2 -8x^4=5

Evaluate

7 x^{2} - 8 x^{4} = 5

Move the expression to the left side

7 x^{2} - 8 x^{4} - 5 = 0

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

7 t - 8 t^{2} - 5 = 0

Rewrite in standard form

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

Multiply both sides

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

Substitute a= 8,b= - 7 and c= 5 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 8 \times 5}{2 \times 8}

Simplify the expression

t = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 8 \times 5}{16}

Simplify the expression

More Steps

t = \frac{7 \pm - 111}{16}

The expression is undefined in the set of real numbers

t \in / R

Solution

x \in / R

Alternative Form

No real solution

Solve the equation