Here is one way to solve for x.
Step 1) 2x^2-7=9
Step 2) 2x^2-7+7=9+7
Step 3) 2x^2=16
Step 4) (2x^2)/2=16/2
Step 5) x^2=8
Step 6) sqrt(x^2)=sqrt(8)
Step 7) |x|=sqrt(8)
Step 8) x=sqrt(8) or x=-sqrt(8)
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Below are explanations/reasons to each of the steps above.
Step 1) Original equation
Step 2) Add 7 to both sides
Step 3) Combine like terms
Step 4) Divide both sides by 2
Step 5) Simplify
Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"
Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x
Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.
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The two solutions are
x = sqrt(8) or x = -sqrt(8)
Answer:
$23.75
Step-by-step explanation:
divide $28.50 by 6 to find the price for 1 bag which is $4.75 then multiply $4.75 by 5 and that equals $23.75
First of all, they need to triple their profits. So 87 x 3 = 241.
When you read the question, it says at least. In inequality terms, that means greater than equal to. You’d do this:
x is the amount of money they raise this year.
We have ( 8 + 4 )/ 2 = 12/2 = 6;
(-2 - 6 ) / 2 = -8 / 2 = -4;
The midpoint is (6,-4);
It can be factored.
We need two numbers that multiply to -12 and add to -4, so are two terms would be -6 and 2.
(x - 6) (x + 2) = 0
x = 6
x = -2
