Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1≈−0.754878,x2≈1.465571
Evaluate
x2∣x−1∣=1
Separate the equation into 2 possible cases
x2(x−1)=1,x−1≥0x2(−(x−1))=1,x−1<0
Evaluate
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Evaluate
x2(x−1)=1
Expand the expression
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Evaluate
x2(x−1)
Apply the distributive property
x2×x−x2×1
Multiply the terms
x3−x2×1
Any expression multiplied by 1 remains the same
x3−x2
x3−x2=1
Move the expression to the left side
x3−x2−1=0
Calculate
x≈1.465571
x≈1.465571,x−1≥0x2(−(x−1))=1,x−1<0
Evaluate
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Evaluate
x−1≥0
Move the constant to the right side
x≥0+1
Removing 0 doesn't change the value,so remove it from the expression
x≥1
x≈1.465571,x≥1x2(−(x−1))=1,x−1<0
Evaluate
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Evaluate
x2(−(x−1))=1
Remove the parentheses
x2(−x+1)=1
Expand the expression
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Evaluate
x2(−x+1)
Apply the distributive property
x2(−x)+x2×1
Multiply the terms
−x3+x2×1
Any expression multiplied by 1 remains the same
−x3+x2
−x3+x2=1
Move the expression to the left side
−x3+x2−1=0
Calculate
x≈−0.754878
x≈1.465571,x≥1x≈−0.754878,x−1<0
Evaluate
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Evaluate
x−1<0
Move the constant to the right side
x<0+1
Removing 0 doesn't change the value,so remove it from the expression
x<1
x≈1.465571,x≥1x≈−0.754878,x<1
Find the intersection
x≈1.465571x≈−0.754878,x<1
Find the intersection
x≈1.465571x≈−0.754878
Solution
x1≈−0.754878,x2≈1.465571
Show Solution
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