Question
Solve the equation
c=3490x+441x2+225x3+315x4c=−3490x+441x2+225x3+315x4
Evaluate
10x+49x2+25x3+35x4=c4×9
Use the commutative property to reorder the terms
10x+49x2+25x3+35x4=9c4
Swap the sides of the equation
9c4=10x+49x2+25x3+35x4
Divide both sides
99c4=910x+49x2+25x3+35x4
Divide the numbers
c4=910x+49x2+25x3+35x4
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±4910x+49x2+25x3+35x4
Simplify the expression
More Steps

Evaluate
4910x+49x2+25x3+35x4
To take a root of a fraction,take the root of the numerator and denominator separately
49410x+49x2+25x3+35x4
Simplify the radical expression
More Steps

Evaluate
49
Write the number in exponential form with the base of 3
432
Reduce the index of the radical and exponent with 2
3
3410x+49x2+25x3+35x4
Multiply by the Conjugate
3×3410x+49x2+25x3+35x4×3
Calculate
3410x+49x2+25x3+35x4×3
Calculate
More Steps

Evaluate
410x+49x2+25x3+35x4×3
Use na=mnam to expand the expression
410x+49x2+25x3+35x4×49
The product of roots with the same index is equal to the root of the product
4(10x+49x2+25x3+35x4)×9
Calculate the product
490x+441x2+225x3+315x4
3490x+441x2+225x3+315x4
c=±3490x+441x2+225x3+315x4
Solution
c=3490x+441x2+225x3+315x4c=−3490x+441x2+225x3+315x4
Show Solution
