Question
Simplify the expression
7p2−1054
Evaluate
p2×7−1040−14
Use the commutative property to reorder the terms
7p2−1040−14
Solution
7p2−1054
Show Solution

Find the roots
p1=−77378,p2=77378
Alternative Form
p1≈−12.270755,p2≈12.270755
Evaluate
p2×7−1040−14
To find the roots of the expression,set the expression equal to 0
p2×7−1040−14=0
Use the commutative property to reorder the terms
7p2−1040−14=0
Subtract the numbers
7p2−1054=0
Move the constant to the right-hand side and change its sign
7p2=0+1054
Removing 0 doesn't change the value,so remove it from the expression
7p2=1054
Divide both sides
77p2=71054
Divide the numbers
p2=71054
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±71054
Simplify the expression
More Steps

Evaluate
71054
To take a root of a fraction,take the root of the numerator and denominator separately
71054
Multiply by the Conjugate
7×71054×7
Multiply the numbers
More Steps

Evaluate
1054×7
The product of roots with the same index is equal to the root of the product
1054×7
Calculate the product
7378
7×77378
When a square root of an expression is multiplied by itself,the result is that expression
77378
p=±77378
Separate the equation into 2 possible cases
p=77378p=−77378
Solution
p1=−77378,p2=77378
Alternative Form
p1≈−12.270755,p2≈12.270755
Show Solution
