Mathematics for IGCSE & O level - Graphs Of Functions (Section 1 - No. 48)
How do you solve equations graphically, such as x² - 2x - 3 = 5 ?
Draw the line y=5 on the graph of the equation and read the intersections.
Solve for x in the equation x² - 2x - 3 = 5 algebraically.
Find the roots of the equation and then add 5.
Find the vertex of the equation and add 5.
Explanation
You draw the line y=5 and find where it intersects with the graph of x² - 2x - 3
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