Question
Simplify the expression
2d2−7075
Evaluate
d2×2−10051−48(−62)
Use the commutative property to reorder the terms
2d2−10051−48(−62)
Multiply the numbers
More Steps

Evaluate
−48(−62)
Multiplying or dividing an even number of negative terms equals a positive
48×62
Multiply the numbers
2976
2d2−10051+2976
Solution
2d2−7075
Show Solution

Find the roots
d1=−25566,d2=25566
Alternative Form
d1≈−59.476886,d2≈59.476886
Evaluate
d2×2−10051−48(−62)
To find the roots of the expression,set the expression equal to 0
d2×2−10051−48(−62)=0
Use the commutative property to reorder the terms
2d2−10051−48(−62)=0
Multiply the numbers
More Steps

Evaluate
48(−62)
Multiplying or dividing an odd number of negative terms equals a negative
−48×62
Multiply the numbers
−2976
2d2−10051−(−2976)=0
Subtract the terms
More Steps

Simplify
2d2−10051−(−2976)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
2d2−10051+2976
Add the numbers
2d2−7075
2d2−7075=0
Move the constant to the right-hand side and change its sign
2d2=0+7075
Removing 0 doesn't change the value,so remove it from the expression
2d2=7075
Divide both sides
22d2=27075
Divide the numbers
d2=27075
Take the root of both sides of the equation and remember to use both positive and negative roots
d=±27075
Simplify the expression
More Steps

Evaluate
27075
To take a root of a fraction,take the root of the numerator and denominator separately
27075
Simplify the radical expression
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Evaluate
7075
Write the expression as a product where the root of one of the factors can be evaluated
25×283
Write the number in exponential form with the base of 5
52×283
The root of a product is equal to the product of the roots of each factor
52×283
Reduce the index of the radical and exponent with 2
5283
25283
Multiply by the Conjugate
2×25283×2
Multiply the numbers
More Steps

Evaluate
283×2
The product of roots with the same index is equal to the root of the product
283×2
Calculate the product
566
2×25566
When a square root of an expression is multiplied by itself,the result is that expression
25566
d=±25566
Separate the equation into 2 possible cases
d=25566d=−25566
Solution
d1=−25566,d2=25566
Alternative Form
d1≈−59.476886,d2≈59.476886
Show Solution
