SOLUTION: PLEASE HELP, MY HOMEWORK IS DUE IN THE MORNING! 1) Find the equation of the line through the given pair of points in standard form using only integers: (5,1) (-2,7) 2) Use the

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Question 992732: PLEASE HELP, MY HOMEWORK IS DUE IN THE MORNING!
1) Find the equation of the line through the given pair of points in standard form using only integers: (5,1) (-2,7)
2) Use the square root property to find all real or imaginary solutions to the equation: (p-3) exponent 2 = 13
3) Solve the equation by factoring: (X+3) (X-2)= -4
Hi, my name is Ana, and I wanted to ask you for a personal favor....You see I got this homework assignment due in the morning but I need help with three more questions and was wondering if you could please do them for me because I just can't seem to solve them.
Answer by ikleyn(52776)   (Show Source):
You can put this solution on YOUR website!
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1) Find the equation of the line through the given pair of points in standard form using only integers: (5,1) (-2,7)
2) Use the square root property to find all real or imaginary solutions to the equation: (p-3) exponent 2 = 13
3) Solve the equation by factoring: (X+3) (X-2)= -4
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2) = ,     ---> take square root from both sides --->

       = +/- , --->

       = +/- .

      Answer. = +/- .

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3) Solve the equation by factoring: (x+3) (x-2)= -4.

First open parentheses:

= .

Simplify, collect common terms:

= .

Now factor left side:

= (x-1)*(x+2).

Next, solve this equation:

(x-1)*(x+2) = 0.

The solutions are x = 1 and x = -2.

Check yourself these solutions by substituting them into the original equation.

Answer. x = 1 and x = -2.