Solve 10x+49x^2+25x^3+35x^4=c^4^8₉

Evaluate

10 x + 49 x^{2} + 25 x^{3} + 35 x^{4} = c^{4} \times 9

Use the commutative property to reorder the terms

10 x + 49 x^{2} + 25 x^{3} + 35 x^{4} = 9 c^{4}

Swap the sides of the equation

9 c^{4} = 10 x + 49 x^{2} + 25 x^{3} + 35 x^{4}

Divide both sides

\frac{9 c ^{4}}{9} = \frac{10 x + 49 x ^{2} + 25 x ^{3} + 35 x ^{4}}{9}

Divide the numbers

c^{4} = \frac{10 x + 49 x ^{2} + 25 x ^{3} + 35 x ^{4}}{9}

Take the root of both sides of the equation and remember to use both positive and negative roots

c = \pm 4 \frac{10 x + 49 x ^{2} + 25 x ^{3} + 35 x ^{4}}{9}

Simplify the expression

More Steps

c = \pm \frac{4 90 x + 441 x ^{2} + 225 x ^{3} + 315 x ^{4}}{3}

Solution

c = \frac{4 90 x + 441 x ^{2} + 225 x ^{3} + 315 x ^{4}}{3} c = - \frac{4 90 x + 441 x ^{2} + 225 x ^{3} + 315 x ^{4}}{3}

Solve the equation