SOLUTION: For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1 a method requiring the quadratic formula and substitution is required

Question 315287: For what value of b will the line y=-2x+b be tangent to the parabola y=3x^2+4x-1
a method requiring the quadratic formula and substitution is required
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Well that's certainly not the easy way.
You have two equations.

Look for the intersection point.
Set them equal to each other.

Since the line is a tangent point, the curves only intersect at one point.
Then x must be a double root and the equation must be a perfect square.
Complete the square to solve for both x and b.

The x coordinate for intersection is
and also

RELATED QUESTIONS
For what value of b will the line y=-2x+b be tangent to the parabola... (answered by Fombitz)

For what value of b will the line y=-2x+b be tangent to the parabola... (answered by ikleyn)

For what value of k the line 2x-y+k=0 is tangent to the parabola... (answered by josgarithmetic,ikleyn,Alan3354)

for what value(s) of k is the line 2x=3y+k a tangent to the parabola... (answered by stanbon)

Find the value of x for which the tangent line to {{{y=2x^2 + 1}}} will be parallel to... (answered by greenestamps,jim_thompson5910)

Find the value of x for which the tangent line to {{{y=2x^2 + 1}}} will be parallel to... (answered by MathLover1,Alan3354,MathTherapy)

The line y=k is a tangent to the parabola y= x^2 -8x +18. a) show this on a diagram... (answered by josgarithmetic)

With the given parabola and slope of a line that is tangent to the parabola, find the... (answered by stanbon)

For what values of b will the straight line y=2x+b not intersect the parabola y=x^2+3x-5 (answered by josgarithmetic)