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yKpoI14uk [10]
3 years ago
15

How would you write 2x^2-7=11 in both quadratic property and square root property?

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

Quadratic Property 2x^2-18=0

Square Root Property x=√9 or x=+3 or x=-3

Step-by-step explanation:

Quadratic Property or a quadratic Function is of the form ax^2+bx+c=0. So our task is to equate the given expression to zero. We can equate the expression to zero by subtracting 11 on both the sides. In doing so, we get 2x^2-18=0. This is the quadratic Property of the given Expression.

Square property is finding the value for x. we have make x equal to some value. Since we already have the quadratic Property as 2x^2-18=0, we can use this to find the value of x.

so, 2x^2=18

or x^2=18/2=9

or x=√9= +3 or -3.

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Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors
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Answer:

13

Step-by-step explanation:

Two factors of -48... that means two numbers which multiplied together give a result of -48, like -6 and 8 for example.

The difference of those two factors is -19.  There not that many possible factors for -48, so if we list them we'll be able to spot a pair with a difference of 19.

A first list of factors for -48 is: -1 and 48, -2 and 24, -3 and 16, -4 and 12, -6 and 8.

We can create another list by inverting the signs: 1 and -48, 2 and -24, 3 and -16, 4 and -12, 6 and -8.

The question says the difference of the two factors is 19...  can you spot in each list a pair of factors having a difference of 19?   I see -3 and 16 and also 3 and -16.

The question also say the one of the greatest absolute value is positive... so that  means it's a pair with +16, not -16.

The pair of factors we're looking for is then -3 and 16. They are factors of -18, they have a difference of 19, and the one with the greatest absolute value is positive.

The sum of -3 and 16 is 13.

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