Question
Solve the equation
x1≈−1.53742,x2≈1.561432,x3≈99.975988
Evaluate
x×4100−x×x=60
Multiply
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Evaluate
x×4100−x×x
Multiply the terms
x2×4100−x
Multiply the terms
4x2(100−x)
4x2(100−x)=60
Cross multiply
x2(100−x)=4×60
Simplify the equation
x2(100−x)=240
Expand the expression
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Evaluate
x2(100−x)
Apply the distributive property
x2×100−x2×x
Use the commutative property to reorder the terms
100x2−x2×x
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
100x2−x3
100x2−x3=240
Move the expression to the left side
100x2−x3−240=0
Calculate
x≈99.975988x≈−1.53742x≈1.561432
Solution
x1≈−1.53742,x2≈1.561432,x3≈99.975988
Show Solution
