SOLUTION: PLEASE HELP MY HOMEWORK IS DUE TOMORROW 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 th

Algebra ->  Equations -> SOLUTION: PLEASE HELP MY HOMEWORK IS DUE TOMORROW 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 th      Log On


   

Question 992725: PLEASE HELP MY HOMEWORK IS DUE TOMORROW 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
Answer by ikleyn(52776) About Me  (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)  %28p-3%29%5E2 = 13,     ---> take square root from both sides --->

      p+-+3 = +/- sqrt%2813%29, --->

      p = 3 +/- sqrt%2813%29.

      Answer.  p = 3 +/- sqrt%2813%29.

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

First open parentheses:

x%5E2+%2B+3x+-+2x+-+6 = -4.

Simplify,  collect common terms:

x%5E2+%2B+x+-+2 = 0.

Now factor left side:

x%5E2+%2B+x+-+2 = (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.