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the discriminant and solutions to quadratic equation

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1. Determine whether the following equations have a solution or not? Justify your answer.
a) x^2+6x-7=0
b) z^2+z+1=0
c) (3)^1/2y^2-4y-7(3)^1/2=0
d) 2x^2-10x+25=0
e) 2x^2-6x+5=0
f) s^2-4s+4=0
g) 5/6x^2-7x-6/5=0
h) 7a^2+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.

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The quadratic equation: ax^2 + bx + c = 0,
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