Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−4,x2=33252,x3=4
Alternative Form
x1=−4,x2≈2.105453,x3=4
Evaluate
(x2−16)×2(x2×3x−28)×2=0
Simplify
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Evaluate
(x2−16)×2(x2×3x−28)×2
Multiply
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Multiply the terms
x2×3x
Multiply the terms with the same base by adding their exponents
x2+1×3
Add the numbers
x3×3
Use the commutative property to reorder the terms
3x3
(x2−16)×2(3x3−28)×2
Multiply the terms
(x2−16)×4(3x3−28)
Multiply the first two terms
4(x2−16)(3x3−28)
4(x2−16)(3x3−28)=0
Elimination the left coefficient
(x2−16)(3x3−28)=0
Separate the equation into 2 possible cases
x2−16=03x3−28=0
Solve the equation
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Evaluate
x2−16=0
Move the constant to the right-hand side and change its sign
x2=0+16
Removing 0 doesn't change the value,so remove it from the expression
x2=16
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±16
Simplify the expression
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Evaluate
16
Write the number in exponential form with the base of 4
42
Reduce the index of the radical and exponent with 2
4
x=±4
Separate the equation into 2 possible cases
x=4x=−4
x=4x=−43x3−28=0
Solve the equation
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Evaluate
3x3−28=0
Move the constant to the right-hand side and change its sign
3x3=0+28
Removing 0 doesn't change the value,so remove it from the expression
3x3=28
Divide both sides
33x3=328
Divide the numbers
x3=328
Take the 3-th root on both sides of the equation
3x3=3328
Calculate
x=3328
Simplify the root
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Evaluate
3328
To take a root of a fraction,take the root of the numerator and denominator separately
33328
Multiply by the Conjugate
33×332328×332
Simplify
33×332328×39
Multiply the numbers
33×3323252
Multiply the numbers
33252
x=33252
x=4x=−4x=33252
Solution
x1=−4,x2=33252,x3=4
Alternative Form
x1=−4,x2≈2.105453,x3=4
Show Solution
Graph
