Find the point(s) of intersection of the curve y=x^2+7x+14 and y=2x+8:

Equate the two graphs:x2+7x+14=2x+8Rearrange to find a single quadratic:x2+5x+6=0Factorize and solve:(x+2)(x+3)x=-2 x=-3Sub x values into one of the original graphs to find y:(-2,4) (-3,2)
I can also provide snapshots of Desmos Graphing Calculator to show what the algebra is actually doing

DM

Related Maths GCSE answers

All answers ▸

A is the point with coordinates (5, 9) B is the point with coordinates (d, 15) The gradient of the line AB is 3 Work out the value of d.


Solve the following quadratic equation x^(2)+7x+12


Express the equation x^2+6x-12 in the form (x+p)^2+q


3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.