Question
Simplify the expression
532l4−4
Evaluate
l4×532−4
Solution
532l4−4
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Factor the expression
4(133l4−1)
Evaluate
l4×532−4
Use the commutative property to reorder the terms
532l4−4
Solution
4(133l4−1)
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Find the roots
l1=−13341333,l2=13341333
Alternative Form
l1≈−0.294467,l2≈0.294467
Evaluate
l4×532−4
To find the roots of the expression,set the expression equal to 0
l4×532−4=0
Use the commutative property to reorder the terms
532l4−4=0
Move the constant to the right-hand side and change its sign
532l4=0+4
Removing 0 doesn't change the value,so remove it from the expression
532l4=4
Divide both sides
532532l4=5324
Divide the numbers
l4=5324
Cancel out the common factor 4
l4=1331
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±41331
Simplify the expression
More Steps

Evaluate
41331
To take a root of a fraction,take the root of the numerator and denominator separately
413341
Simplify the radical expression
41331
Multiply by the Conjugate
4133×4133341333
Multiply the numbers
More Steps

Evaluate
4133×41333
The product of roots with the same index is equal to the root of the product
4133×1333
Calculate the product
41334
Reduce the index of the radical and exponent with 4
133
13341333
l=±13341333
Separate the equation into 2 possible cases
l=13341333l=−13341333
Solution
l1=−13341333,l2=13341333
Alternative Form
l1≈−0.294467,l2≈0.294467
Show Solution
