Question
69725−4g2×2
Simplify the expression
69725−8g2
Evaluate
69725−4g2×2
Solution
69725−8g2
Show Solution

Find the roots
g1=−455578,g2=455578
Alternative Form
g1≈−93.357512,g2≈93.357512
Evaluate
69725−4g2×2
To find the roots of the expression,set the expression equal to 0
69725−4g2×2=0
Multiply the terms
69725−8g2=0
Move the constant to the right-hand side and change its sign
−8g2=0−69725
Removing 0 doesn't change the value,so remove it from the expression
−8g2=−69725
Change the signs on both sides of the equation
8g2=69725
Divide both sides
88g2=869725
Divide the numbers
g2=869725
Take the root of both sides of the equation and remember to use both positive and negative roots
g=±869725
Simplify the expression
More Steps

Evaluate
869725
To take a root of a fraction,take the root of the numerator and denominator separately
869725
Simplify the radical expression
More Steps

Evaluate
69725
Write the expression as a product where the root of one of the factors can be evaluated
25×2789
Write the number in exponential form with the base of 5
52×2789
The root of a product is equal to the product of the roots of each factor
52×2789
Reduce the index of the radical and exponent with 2
52789
852789
Simplify the radical expression
More Steps

Evaluate
8
Write the expression as a product where the root of one of the factors can be evaluated
4×2
Write the number in exponential form with the base of 2
22×2
The root of a product is equal to the product of the roots of each factor
22×2
Reduce the index of the radical and exponent with 2
22
2252789
Multiply by the Conjugate
22×252789×2
Multiply the numbers
More Steps

Evaluate
2789×2
The product of roots with the same index is equal to the root of the product
2789×2
Calculate the product
5578
22×255578
Multiply the numbers
More Steps

Evaluate
22×2
When a square root of an expression is multiplied by itself,the result is that expression
2×2
Multiply the numbers
4
455578
g=±455578
Separate the equation into 2 possible cases
g=455578g=−455578
Solution
g1=−455578,g2=455578
Alternative Form
g1≈−93.357512,g2≈93.357512
Show Solution
