Question
Simplify the expression
26c2−4
Evaluate
c2×26−1−3
Use the commutative property to reorder the terms
26c2−1−3
Solution
26c2−4
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Factor the expression
2(13c2−2)
Evaluate
c2×26−1−3
Use the commutative property to reorder the terms
26c2−1−3
Subtract the numbers
26c2−4
Solution
2(13c2−2)
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Find the roots
c1=−1326,c2=1326
Alternative Form
c1≈−0.392232,c2≈0.392232
Evaluate
c2×26−1−3
To find the roots of the expression,set the expression equal to 0
c2×26−1−3=0
Use the commutative property to reorder the terms
26c2−1−3=0
Subtract the numbers
26c2−4=0
Move the constant to the right-hand side and change its sign
26c2=0+4
Removing 0 doesn't change the value,so remove it from the expression
26c2=4
Divide both sides
2626c2=264
Divide the numbers
c2=264
Cancel out the common factor 2
c2=132
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±132
Simplify the expression
More Steps

Evaluate
132
To take a root of a fraction,take the root of the numerator and denominator separately
132
Multiply by the Conjugate
13×132×13
Multiply the numbers
More Steps

Evaluate
2×13
The product of roots with the same index is equal to the root of the product
2×13
Calculate the product
26
13×1326
When a square root of an expression is multiplied by itself,the result is that expression
1326
c=±1326
Separate the equation into 2 possible cases
c=1326c=−1326
Solution
c1=−1326,c2=1326
Alternative Form
c1≈−0.392232,c2≈0.392232
Show Solution
