Solve 4x^(2)-5=3x^4

Evaluate

4 x^{2} - 5 = 3 x^{4}

Move the expression to the left side

4 x^{2} - 5 - 3 x^{4} = 0

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

4 t - 5 - 3 t^{2} = 0

Rewrite in standard form

- 3 t^{2} + 4 t - 5 = 0

Multiply both sides

3 t^{2} - 4 t + 5 = 0

Substitute a= 3,b= - 4 and c= 5 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 3 \times 5}{2 \times 3}

Simplify the expression

t = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 3 \times 5}{6}

Simplify the expression

More Steps

t = \frac{4 \pm - 44}{6}

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