SOLUTION: For what values of b will the straight line y=2x+b not intersect the parabola y=x^2+3x-5 ?

Question 1063607: For what values of b will the straight line y=2x+b not intersect the
parabola y=x^2+3x-5 ?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
If they did intersect, you would equate the two expressions for y:

Since you DO NOT want the line and parabola to intersect, then you want this equation to have NO REAL SOLUTIONS, and you must have the discriminant be negative.

---------the requirement so that your given line and parabola do not intersect.
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