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

Evaluate

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

Move the expression to the left side

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

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

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

Rewrite in standard form

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

Multiply both sides

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

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

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

Simplify the expression

t = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 5 \times 3}{10}

Simplify the expression

More Steps

t = \frac{3 \pm - 51}{10}

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