# SOLUTION: I really need help can somebody polease help me? 1. Determine whether the following equations have a solution or not? Justify your answer. a) x2 + 6x - 7 = 0 b) z2 + z + 1 = 0

Algebra ->  Algebra  -> Equations -> SOLUTION: I really need help can somebody polease help me? 1. Determine whether the following equations have a solution or not? Justify your answer. a) x2 + 6x - 7 = 0 b) z2 + z + 1 = 0      Log On

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 Click here to see ALL problems on Equations Question 154636This question is from textbook elementary and intermediate algebra concepts and applications : I really need help can somebody polease help me? 1. Determine whether the following equations have a solution or not? Justify your answer. a) x2 + 6x - 7 = 0 b) z2 + z + 1 = 0 c) (3)1/2y2 - 4y - 7(3)1/2 = 0 d) 2x2 - 10x + 25 = 0 e) 2x2 - 6x + 5 = 0 f) s2 - 4s + 4 = 0 g) 5/6x2 - 7x - 6/5 = 0 h) 7a2 + 8a + 2 = 0 2. If x = 1 and x = -8, then form a quadratic equation. 3. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation. 4. Create a real-life situation that fits into the equation (x + 4)(x - 7) = 0 and express the situation as the same equation. This question is from textbook elementary and intermediate algebra concepts and applications Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!1. Determine whether the following equations have a solution or not? Justify your answer. a) x2 + 6x - 7 = 0 b) z2 + z + 1 = 0 c) (3)1/2y2 - 4y - 7(3)1/2 = 0 d) 2x2 - 10x + 25 = 0 e) 2x2 - 6x + 5 = 0 f) s2 - 4s + 4 = 0 g) 5/6x2 - 7x - 6/5 = 0 h) 7a2 + 8a + 2 = 0 --------- Comment: You have a bunch of quadratic equations. I assume you know what a,b, and c are for a quadratic: e.g. for your "d" problem (above), a= 2, b = 10, c = 25 I assume you know that D (below) is the discriminant and that D = b^2 - 4ac for any quadratic You may not know the following: When D>0, the quadratic has two unequal Real Number solutions. When D=0, the quadratic has two equal Real Number solutions. when D<0, the quadratic has two different Complex Number solutions e.g. for "d" (above) D = 10^2-4*2*25 = 0 So "d" has two equal Real Number solutions. ------------------------------------------------- 2. If x = 1 and x = -8, then form a quadratic equation. f(x) = (x-1)(x+8) ------------------------------------------------- 3. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation. Ans: You have a quadratic with two Complex Number solutions. Ex: f(x) = 2x^2 -3x + 20 where D= 9-4*2*20 = -151 < 0 -------------------------------------------------- 4. Create a real-life situation that fits into the equation (x + 4)(x - 7) = 0 and express the situation as the same equation. Ex: My family finances were zero 4 years ago and by looking at the economy I expect they will be zero again 7 years from now. Graph a function that tracks my finances if I am \$28 in debt at the present time. ================== Cheers, Stan H.