Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x2−121
Evaluate
3(x2−4)−1
Express with a positive exponent using a−n=an1
3x2−41
Multiply by the reciprocal
x2−41×31
Multiply the terms
(x2−4)×31
Multiply the terms
3(x2−4)1
Solution
More Steps
Evaluate
3(x2−4)
Apply the distributive property
3x2−3×4
Multiply the numbers
3x2−12
3x2−121
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Find the roots
x∈∅
Evaluate
3(x2−4)−1
To find the roots of the expression,set the expression equal to 0
3(x2−4)−1=0
Find the domain
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Evaluate
x2−4=0
Move the constant to the right side
x2=4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4
Simplify the expression
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Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
x=±2
Separate the inequality into 2 possible cases
{x=2x=−2
Find the intersection
x∈(−∞,−2)∪(−2,2)∪(2,+∞)
3(x2−4)−1=0,x∈(−∞,−2)∪(−2,2)∪(2,+∞)
Calculate
3(x2−4)−1=0
Divide the terms
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Evaluate
3(x2−4)−1
Express with a positive exponent using a−n=an1
3x2−41
Multiply by the reciprocal
x2−41×31
Multiply the terms
(x2−4)×31
Multiply the terms
3(x2−4)1
3(x2−4)1=0
Cross multiply
1=3(x2−4)×0
Simplify the equation
1=0
Solution
x∈∅
Show Solution