GCSE Maths (AQA)

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Approximating Solutions with Graphs

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Algebra Solving Equations and Inequalities

Approximating Solutions with Graphs

4:58 More Quadratic Equations
Spec A17 A18
Previous Solving by Completing the Square Next Solving by Substitution
  • The solution to an equation can be found by determining the point where the graph of the expression crosses the x axis.
  • The equation needs to be written in the form f of x is zero, with all terms on one side of the equal sign and zero on the other side.
  • Graphically solving the equation involves plotting the graph of y equals the expression and finding the points where it crosses the x axis.
  • Approximate solutions can be found by plotting the graph of hard to solve equations and finding the intercepts.
  • The given example involves filling a table with x and y values, plotting the points on a graph, and estimating the x coordinates where the graph crosses the x axis.
  • The approximate solutions to the equation are 0.8 and 3.9.

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