Solving Quadratic Equations Practice Questions

Question 1

2 marks

Do not use a calculator for this question.

Solve x2+7=88x^2 + 7 = 88

Question 2

4 marks

Do not use a calculator for this question.

Here is the graph of y=x2−4x+1y = x^2 - 4x + 1 for values of xx from −1-1 to 55.

-1012345xy654321-1-2-3-4

(a)

Use the graph to find estimates for the solutions of the equation x2−4x+1=0x^2 - 4x + 1 = 0

(b)

Use the graph to find estimates for the solutions of the equation x2−4x+1=3x^2 - 4x + 1 = 3