Question

y=x²-5x-6 x²-5x-14=0 draw the graph​

Answer 1

Answer:

Step-by-step explanation:

Points to be plotted :

(-4, 30) (-3, 18) (-2, 8) (-1, 0) (0, -6) (1, -10) (2, -12) (3, -12) (4, -10)

To find the x-coordinate of the vertex of the parabola, we may use the formula x = -b/2a

x = -(-5)/2(1)  =  5/2

By applying x = 5/2, we get the value of y.

y = (5/2)2 - 5(5/2) - 6

y = 25/4 - (25/2) - 6

y = (25 - 50 - 24)/4

y = -49/4

Vertex (5/2, -49/4)

y  =  x2 −5x −6 ------(1)

0  =  x2 −5x −14  ------(2)

(1) - (2)

    y  =  x2 −5x −6 ------(1)

    0  =  x2 −5x −14  ------(2)

   (-)     (-)  (+)  (+)

   -------------------

      y = 8

Hence the parabola and the line intersect at two points -2 and 7 on the x-axis.

Hence the solutions are -2 and 7.

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