Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
20230m2−100
Evaluate
m2×20230−100
Solution
20230m2−100
Show Solution
Factor the expression
10(2023m2−10)
Evaluate
m2×20230−100
Use the commutative property to reorder the terms
20230m2−100
Solution
10(2023m2−10)
Show Solution
Find the roots
m1=−11970,m2=11970
Alternative Form
m1≈−0.070308,m2≈0.070308
Evaluate
m2×20230−100
To find the roots of the expression,set the expression equal to 0
m2×20230−100=0
Use the commutative property to reorder the terms
20230m2−100=0
Move the constant to the right-hand side and change its sign
20230m2=0+100
Removing 0 doesn't change the value,so remove it from the expression
20230m2=100
Divide both sides
2023020230m2=20230100
Divide the numbers
m2=20230100
Cancel out the common factor 10
m2=202310
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±202310
Simplify the expression
More Steps
Evaluate
202310
To take a root of a fraction,take the root of the numerator and denominator separately
202310
Simplify the radical expression
More Steps
Evaluate
2023
Write the expression as a product where the root of one of the factors can be evaluated
289×7
Write the number in exponential form with the base of 17
172×7
The root of a product is equal to the product of the roots of each factor
172×7
Reduce the index of the radical and exponent with 2
177
17710
Multiply by the Conjugate
177×710×7
Multiply the numbers
More Steps
Evaluate
10×7
The product of roots with the same index is equal to the root of the product
10×7
Calculate the product
70
177×770
Multiply the numbers
More Steps
Evaluate
177×7
When a square root of an expression is multiplied by itself,the result is that expression
17×7
Multiply the terms
119
11970
m=±11970
Separate the equation into 2 possible cases
m=11970m=−11970
Solution
m1=−11970,m2=11970
Alternative Form
m1≈−0.070308,m2≈0.070308
Show Solution