Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
c1=−45453837210,c2=45453837210
Alternative Form
c1≈−473.410119,c2≈473.410119
Evaluate
30255814−135c2
To find the roots of the expression,set the expression equal to 0
30255814−135c2=0
Move the constant to the right-hand side and change its sign
−135c2=0−30255814
Removing 0 doesn't change the value,so remove it from the expression
−135c2=−30255814
Change the signs on both sides of the equation
135c2=30255814
Divide both sides
135135c2=13530255814
Divide the numbers
c2=13530255814
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±13530255814
Simplify the expression
More Steps
Evaluate
13530255814
To take a root of a fraction,take the root of the numerator and denominator separately
13530255814
Simplify the radical expression
More Steps
Evaluate
135
Write the expression as a product where the root of one of the factors can be evaluated
9×15
Write the number in exponential form with the base of 3
32×15
The root of a product is equal to the product of the roots of each factor
32×15
Reduce the index of the radical and exponent with 2
315
31530255814
Multiply by the Conjugate
315×1530255814×15
Multiply the numbers
More Steps
Evaluate
30255814×15
The product of roots with the same index is equal to the root of the product
30255814×15
Calculate the product
453837210
315×15453837210
Multiply the numbers
More Steps
Evaluate
315×15
When a square root of an expression is multiplied by itself,the result is that expression
3×15
Multiply the terms
45
45453837210
c=±45453837210
Separate the equation into 2 possible cases
c=45453837210c=−45453837210
Solution
c1=−45453837210,c2=45453837210
Alternative Form
c1≈−473.410119,c2≈473.410119
Show Solution
