Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
50−t2
Evaluate
50−1×t2
Solution
50−t2
Show Solution
Find the roots
t1=−52,t2=52
Alternative Form
t1≈−7.071068,t2≈7.071068
Evaluate
50−1×t2
To find the roots of the expression,set the expression equal to 0
50−1×t2=0
Any expression multiplied by 1 remains the same
50−t2=0
Move the constant to the right-hand side and change its sign
−t2=0−50
Removing 0 doesn't change the value,so remove it from the expression
−t2=−50
Change the signs on both sides of the equation
t2=50
Take the root of both sides of the equation and remember to use both positive and negative roots
t=±50
Simplify the expression
More Steps
Evaluate
50
Write the expression as a product where the root of one of the factors can be evaluated
25×2
Write the number in exponential form with the base of 5
52×2
The root of a product is equal to the product of the roots of each factor
52×2
Reduce the index of the radical and exponent with 2
52
t=±52
Separate the equation into 2 possible cases
t=52t=−52
Solution
t1=−52,t2=52
Alternative Form
t1≈−7.071068,t2≈7.071068
Show Solution