SOLVING QUADRATIC EQUATIONS BY GRAPHING WORKSHEET

1) Graph the following quadratic equations and state their nature of solutions.

(i)  x2 − 9x + 20 = 0         Solution

(ii)  x2 − 4x + 4 = 0              Solution

(iii)  x2 + x + 7 = 0           Solution

(iv)  x2 − 9 = 0          Solution

(v)  x2 - 6x + 9 = 0            Solution

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

(2)  Draw the graph of y = x2−4 and hence solve x2−x −12 = 0              Solution

(3)  Draw the graph of y = x2 + x and hence solve x2 + 1 = 0             Solution

(4)  Draw the graph of y = x2 + 3x + 2 and use it to solve x2 + 2x + 1 = 0.                  Solution

(5)  Draw the graph of y = x+ 3x - 4 and hence solve x2 + 3x - 4 = 0          Solution

(6)  Draw the graph of y = x2 −5x −6 and hence solve x2 −5x −14 = 0         Solution

(7)  Draw the graph of y = 2x2 − 3x − 5 and hence solve 2x2 − 4x − 6 = 0         Solution

(8)  Draw the graph of y = (x − 1)(x + 3) and hence solve x2 − x − 6 = 0         Solution

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