Question
Simplify the expression
73700−20r2
Evaluate
73700−1×r2×20
Solution
More Steps

Evaluate
1×r2×20
Rewrite the expression
r2×20
Use the commutative property to reorder the terms
20r2
73700−20r2
Show Solution

Factor the expression
20(3685−r2)
Evaluate
73700−1×r2×20
Multiply the terms
More Steps

Evaluate
1×r2×20
Rewrite the expression
r2×20
Use the commutative property to reorder the terms
20r2
73700−20r2
Solution
20(3685−r2)
Show Solution

Find the roots
r1=−3685,r2=3685
Alternative Form
r1≈−60.704201,r2≈60.704201
Evaluate
73700−1×r2×20
To find the roots of the expression,set the expression equal to 0
73700−1×r2×20=0
Multiply the terms
More Steps

Multiply the terms
1×r2×20
Rewrite the expression
r2×20
Use the commutative property to reorder the terms
20r2
73700−20r2=0
Move the constant to the right-hand side and change its sign
−20r2=0−73700
Removing 0 doesn't change the value,so remove it from the expression
−20r2=−73700
Change the signs on both sides of the equation
20r2=73700
Divide both sides
2020r2=2073700
Divide the numbers
r2=2073700
Divide the numbers
More Steps

Evaluate
2073700
Reduce the numbers
13685
Calculate
3685
r2=3685
Take the root of both sides of the equation and remember to use both positive and negative roots
r=±3685
Separate the equation into 2 possible cases
r=3685r=−3685
Solution
r1=−3685,r2=3685
Alternative Form
r1≈−60.704201,r2≈60.704201
Show Solution
