Question
Simplify the expression
4−12x2
Evaluate
22−4x2×3
Multiply the terms
22−12x2
Solution
4−12x2
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Factor the expression
4(1−3x2)
Evaluate
22−4x2×3
Multiply the terms
22−12x2
Solution
4(1−3x2)
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Find the roots
x1=−33,x2=33
Alternative Form
x1≈−0.57735,x2≈0.57735
Evaluate
22−4x2×3
To find the roots of the expression,set the expression equal to 0
22−4x2×3=0
Multiply the terms
22−12x2=0
Evaluate the power
4−12x2=0
Move the constant to the right-hand side and change its sign
−12x2=0−4
Removing 0 doesn't change the value,so remove it from the expression
−12x2=−4
Change the signs on both sides of the equation
12x2=4
Divide both sides
1212x2=124
Divide the numbers
x2=124
Cancel out the common factor 4
x2=31
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±31
Simplify the expression
More Steps

Evaluate
31
To take a root of a fraction,take the root of the numerator and denominator separately
31
Simplify the radical expression
31
Multiply by the Conjugate
3×33
When a square root of an expression is multiplied by itself,the result is that expression
33
x=±33
Separate the equation into 2 possible cases
x=33x=−33
Solution
x1=−33,x2=33
Alternative Form
x1≈−0.57735,x2≈0.57735
Show Solution
