Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
28c2−1
Evaluate
1×c2×28−1
Solution
More Steps
Evaluate
1×c2×28
Rewrite the expression
c2×28
Use the commutative property to reorder the terms
28c2
28c2−1
Show Solution
Find the roots
c1=−147,c2=147
Alternative Form
c1≈−0.188982,c2≈0.188982
Evaluate
1×c2×28−1
To find the roots of the expression,set the expression equal to 0
1×c2×28−1=0
Multiply the terms
More Steps
Multiply the terms
1×c2×28
Rewrite the expression
c2×28
Use the commutative property to reorder the terms
28c2
28c2−1=0
Move the constant to the right-hand side and change its sign
28c2=0+1
Removing 0 doesn't change the value,so remove it from the expression
28c2=1
Divide both sides
2828c2=281
Divide the numbers
c2=281
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±281
Simplify the expression
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Evaluate
281
To take a root of a fraction,take the root of the numerator and denominator separately
281
Simplify the radical expression
281
Simplify the radical expression
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Evaluate
28
Write the expression as a product where the root of one of the factors can be evaluated
4×7
Write the number in exponential form with the base of 2
22×7
The root of a product is equal to the product of the roots of each factor
22×7
Reduce the index of the radical and exponent with 2
27
271
Multiply by the Conjugate
27×77
Multiply the numbers
More Steps
Evaluate
27×7
When a square root of an expression is multiplied by itself,the result is that expression
2×7
Multiply the terms
14
147
c=±147
Separate the equation into 2 possible cases
c=147c=−147
Solution
c1=−147,c2=147
Alternative Form
c1≈−0.188982,c2≈0.188982
Show Solution