Question
H4×513−64−0
Simplify the expression
513H4−64
Evaluate
H4×513−64−0
Use the commutative property to reorder the terms
513H4−64−0
Solution
513H4−64
Show Solution

Find the roots
H1=−513244×5133,H2=513244×5133
Alternative Form
H1≈−0.594314,H2≈0.594314
Evaluate
H4×513−64−0
To find the roots of the expression,set the expression equal to 0
H4×513−64−0=0
Use the commutative property to reorder the terms
513H4−64−0=0
Removing 0 doesn't change the value,so remove it from the expression
513H4−64=0
Move the constant to the right-hand side and change its sign
513H4=0+64
Removing 0 doesn't change the value,so remove it from the expression
513H4=64
Divide both sides
513513H4=51364
Divide the numbers
H4=51364
Take the root of both sides of the equation and remember to use both positive and negative roots
H=±451364
Simplify the expression
More Steps

Evaluate
451364
To take a root of a fraction,take the root of the numerator and denominator separately
4513464
Simplify the radical expression
More Steps

Evaluate
464
Write the expression as a product where the root of one of the factors can be evaluated
416×4
Write the number in exponential form with the base of 2
424×4
The root of a product is equal to the product of the roots of each factor
424×44
Reduce the index of the radical and exponent with 4
244
Simplify the root
22
451322
Multiply by the Conjugate
4513×4513322×45133
Multiply the numbers
More Steps

Evaluate
2×45133
Use na=mnam to expand the expression
422×45133
The product of roots with the same index is equal to the root of the product
422×5133
Calculate the product
44×5133
4513×45133244×5133
Multiply the numbers
More Steps

Evaluate
4513×45133
The product of roots with the same index is equal to the root of the product
4513×5133
Calculate the product
45134
Reduce the index of the radical and exponent with 4
513
513244×5133
H=±513244×5133
Separate the equation into 2 possible cases
H=513244×5133H=−513244×5133
Solution
H1=−513244×5133,H2=513244×5133
Alternative Form
H1≈−0.594314,H2≈0.594314
Show Solution
