Solve 2x^2-42x^441-51=0

Evaluate

2 x^{2} - 42 x^{4} \times 41 - 51 = 0

Multiply the terms

2 x^{2} - 1722 x^{4} - 51 = 0

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

2 t - 1722 t^{2} - 51 = 0

Rewrite in standard form

- 1722 t^{2} + 2 t - 51 = 0

Multiply both sides

1722 t^{2} - 2 t + 51 = 0

Substitute a= 1722,b= - 2 and c= 51 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{2 \pm ( - 2 ) ^{2} - 4 \times 1722 \times 51}{2 \times 1722}

Simplify the expression

t = \frac{2 \pm ( - 2 ) ^{2} - 4 \times 1722 \times 51}{3444}

Simplify the expression

More Steps

t = \frac{2 \pm - 351284}{3444}

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