Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
f2−245
Evaluate
f2×1−10−235
Any expression multiplied by 1 remains the same
f2−10−235
Solution
f2−245
Show Solution
Find the roots
f1=−75,f2=75
Alternative Form
f1≈−15.652476,f2≈15.652476
Evaluate
f2×1−10−235
To find the roots of the expression,set the expression equal to 0
f2×1−10−235=0
Any expression multiplied by 1 remains the same
f2−10−235=0
Subtract the numbers
f2−245=0
Move the constant to the right-hand side and change its sign
f2=0+245
Removing 0 doesn't change the value,so remove it from the expression
f2=245
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±245
Simplify the expression
More Steps
Evaluate
245
Write the expression as a product where the root of one of the factors can be evaluated
49×5
Write the number in exponential form with the base of 7
72×5
The root of a product is equal to the product of the roots of each factor
72×5
Reduce the index of the radical and exponent with 2
75
f=±75
Separate the equation into 2 possible cases
f=75f=−75
Solution
f1=−75,f2=75
Alternative Form
f1≈−15.652476,f2≈15.652476
Show Solution