Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
h2−50
Evaluate
h2×1−50−0
Any expression multiplied by 1 remains the same
h2−50−0
Solution
h2−50
Show Solution
Find the roots
h1=−52,h2=52
Alternative Form
h1≈−7.071068,h2≈7.071068
Evaluate
h2×1−50−0
To find the roots of the expression,set the expression equal to 0
h2×1−50−0=0
Any expression multiplied by 1 remains the same
h2−50−0=0
Removing 0 doesn't change the value,so remove it from the expression
h2−50=0
Move the constant to the right-hand side and change its sign
h2=0+50
Removing 0 doesn't change the value,so remove it from the expression
h2=50
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±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
h=±52
Separate the equation into 2 possible cases
h=52h=−52
Solution
h1=−52,h2=52
Alternative Form
h1≈−7.071068,h2≈7.071068
Show Solution