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10 Here is the graph of $y = x^2 + x - 6$ - OCR - GCSE Maths - Question 10 - 2018 - Paper 4

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10 Here is the graph of $y = x^2 + x - 6$. Use the graph to solve the equation $x^2 + x - 6 = 0$. x = ............................ or x = ............................. show full transcript

Worked Solution & Example Answer:10 Here is the graph of $y = x^2 + x - 6$ - OCR - GCSE Maths - Question 10 - 2018 - Paper 4

Step 1

Use the graph to identify the x-intercepts

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Answer

To find the solutions to the equation x2+x6=0x^2 + x - 6 = 0, we need to identify where the graph intersects the x-axis. The x-intercepts occur where y=0y = 0. According to the provided graph, the function intersects the x-axis at two points.

Step 2

Identify the x-values of the intercepts

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Answer

From the graph, we can observe that the x-intercepts are approximately at x=3x = -3 and x=2x = 2. Thus, the values of x that satisfy the equation are:

x=3orx=2x = -3 \quad \text{or} \quad x = 2

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