exam Maths Puzzle Numerical Ability

Directions: solve quadratci expression by factoring. I do not see how it could be factored.

12x^2 + 17x - 5= 0

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exam Other Question

find an equation of the ellipse with vertices at (-2,2) and (4,2), and co-vertices at (1,4) and (1,0) I'm stuck, I have to identify the vertex and x-intercepts of y=-x^2-5x-6

I am assuming the x^2 means x sq?