Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
406h2−100
Evaluate
h2×406−100
Solution
406h2−100
Show Solution
Factor the expression
2(203h2−50)
Evaluate
h2×406−100
Use the commutative property to reorder the terms
406h2−100
Solution
2(203h2−50)
Show Solution
Find the roots
h1=−2035406,h2=2035406
Alternative Form
h1≈−0.496292,h2≈0.496292
Evaluate
h2×406−100
To find the roots of the expression,set the expression equal to 0
h2×406−100=0
Use the commutative property to reorder the terms
406h2−100=0
Move the constant to the right-hand side and change its sign
406h2=0+100
Removing 0 doesn't change the value,so remove it from the expression
406h2=100
Divide both sides
406406h2=406100
Divide the numbers
h2=406100
Cancel out the common factor 2
h2=20350
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±20350
Simplify the expression
More Steps
Evaluate
20350
To take a root of a fraction,take the root of the numerator and denominator separately
20350
Simplify the radical 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
20352
Multiply by the Conjugate
203×20352×203
Multiply the numbers
More Steps
Evaluate
2×203
The product of roots with the same index is equal to the root of the product
2×203
Calculate the product
406
203×2035406
When a square root of an expression is multiplied by itself,the result is that expression
2035406
h=±2035406
Separate the equation into 2 possible cases
h=2035406h=−2035406
Solution
h1=−2035406,h2=2035406
Alternative Form
h1≈−0.496292,h2≈0.496292
Show Solution