Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−29+18x−x2
Evaluate
52−(9−x)2
Expand the expression
52−81+18x−x2
Solution
−29+18x−x2
Show Solution
Find the roots
x1=−213+9,x2=213+9
Alternative Form
x1≈1.788897,x2≈16.211103
Evaluate
52−(9−x)2
To find the roots of the expression,set the expression equal to 0
52−(9−x)2=0
Move the constant to the right-hand side and change its sign
−(9−x)2=0−52
Removing 0 doesn't change the value,so remove it from the expression
−(9−x)2=−52
Change the signs on both sides of the equation
(9−x)2=52
Take the root of both sides of the equation and remember to use both positive and negative roots
9−x=±52
Simplify the expression
More Steps
Evaluate
52
Write the expression as a product where the root of one of the factors can be evaluated
4×13
Write the number in exponential form with the base of 2
22×13
The root of a product is equal to the product of the roots of each factor
22×13
Reduce the index of the radical and exponent with 2
213
9−x=±213
Separate the equation into 2 possible cases
9−x=2139−x=−213
Calculate
More Steps
Evaluate
9−x=213
Move the constant to the right-hand side and change its sign
−x=213−9
Change the signs on both sides of the equation
x=−213+9
x=−213+99−x=−213
Calculate
More Steps
Evaluate
9−x=−213
Move the constant to the right-hand side and change its sign
−x=−213−9
Change the signs on both sides of the equation
x=213+9
x=−213+9x=213+9
Solution
x1=−213+9,x2=213+9
Alternative Form
x1≈1.788897,x2≈16.211103
Show Solution