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where do the graphs y=3x^2-2x-5 and y=4x-2 intersect

3x^2+2x-5=4x-2 3x-2x-3=0 3(x^2-2/3x-1/3)=0 3((x-2/6)^2-4/36-1/3)=0 3(x-2/6)^2-1/3-1=0 x=2/6(+-)(4/9)^-2

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Line L1 passes through points (4,6) and (12,2). Line L2 passes through the origin and has gradient -3. The two lines intersect at point P. Find the co-ordinates of P.

Gradient of L1 : Gradient = Change in y/ Change in x. Gradient = (2-6)/(12-4)= -1/2
Gradient is "m" in y=mx+cPlug in a point to determine c : 6 = -1/2 *4 + c --> c =8 L1 is ...

Answered by Bjorn L. • Maths tutor

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Using the quadratic formula find the solutions for x^2+x-6

By subbing in a=1 b=1 and c=-6 into the quadratic formula, you should get two solutions of x which are x = 2 and x = -3

Answered by Loretta O. • Maths tutor

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Write x^2 + 4x - 16 in the form (x+a)^2-b

Concentrate on the x^2+4x. Halve the 4 or any number that occupies that space. Equals 2 in this case. Put (x+2)^2 and that is your first term. Expand the brackets= x^2 + 4x + 4. Don't want the extra + 4 a...

Answered by Lucy B. • Maths tutor

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