Question
Simplify the expression
30f2−9
Evaluate
f2×30−9
Solution
30f2−9
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Factor the expression
3(10f2−3)
Evaluate
f2×30−9
Use the commutative property to reorder the terms
30f2−9
Solution
3(10f2−3)
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Find the roots
f1=−1030,f2=1030
Alternative Form
f1≈−0.547723,f2≈0.547723
Evaluate
f2×30−9
To find the roots of the expression,set the expression equal to 0
f2×30−9=0
Use the commutative property to reorder the terms
30f2−9=0
Move the constant to the right-hand side and change its sign
30f2=0+9
Removing 0 doesn't change the value,so remove it from the expression
30f2=9
Divide both sides
3030f2=309
Divide the numbers
f2=309
Cancel out the common factor 3
f2=103
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±103
Simplify the expression
More Steps

Evaluate
103
To take a root of a fraction,take the root of the numerator and denominator separately
103
Multiply by the Conjugate
10×103×10
Multiply the numbers
More Steps

Evaluate
3×10
The product of roots with the same index is equal to the root of the product
3×10
Calculate the product
30
10×1030
When a square root of an expression is multiplied by itself,the result is that expression
1030
f=±1030
Separate the equation into 2 possible cases
f=1030f=−1030
Solution
f1=−1030,f2=1030
Alternative Form
f1≈−0.547723,f2≈0.547723
Show Solution
