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24-01-2018
Mathematics

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The sketch shows the graphs of:
y=2x + 2
y=2x^2 + 3x - 4

Work out the x-coordinates of the points S and T

The sketch shows the graphs ofy2x 2y2x2 3x 4Work out the xcoordinates of the points S and T class=

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Аноним Аноним

24-01-2018

Since both expressions in x are equal to y we can write:-

2x + 2 = 2x^2 + 3x - 4

2x^2 + x - 6 = 0

2x^2 + 4x - 3x - 6 = 0

2x(x + 2) - 3(x + 2) = 0

(2x - 3)(x + 2) = 0

x = 1.5 , -2

x coordinate of S = -2 and x coordinate of T = 1.5.

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