Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
560−x2
Evaluate
12−5xx
Multiply the terms
More Steps
Multiply the terms
5xx
Multiply the terms
5x×x
Multiply the terms
5x2
12−5x2
Reduce fractions to a common denominator
512×5−5x2
Write all numerators above the common denominator
512×5−x2
Solution
560−x2
Show Solution
Find the roots
x1=−215,x2=215
Alternative Form
x1≈−7.745967,x2≈7.745967
Evaluate
12−5xx
To find the roots of the expression,set the expression equal to 0
12−5xx=0
Multiply the terms
More Steps
Multiply the terms
5xx
Multiply the terms
5x×x
Multiply the terms
5x2
12−5x2=0
Subtract the terms
More Steps
Simplify
12−5x2
Reduce fractions to a common denominator
512×5−5x2
Write all numerators above the common denominator
512×5−x2
Multiply the numbers
560−x2
560−x2=0
Simplify
60−x2=0
Rewrite the expression
−x2=−60
Change the signs on both sides of the equation
x2=60
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±60
Simplify the expression
More Steps
Evaluate
60
Write the expression as a product where the root of one of the factors can be evaluated
4×15
Write the number in exponential form with the base of 2
22×15
The root of a product is equal to the product of the roots of each factor
22×15
Reduce the index of the radical and exponent with 2
215
x=±215
Separate the equation into 2 possible cases
x=215x=−215
Solution
x1=−215,x2=215
Alternative Form
x1≈−7.745967,x2≈7.745967
Show Solution