Recall: When solving a pair of simultaneous equations $y=a{{x}^{2}}+bx+c$ and \(\qquad\qquad\qquad

Question

Recall: When solving a pair of simultaneous equations $y=a{{x}^{2}}+bx+c$ and $\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\;\;\;\; y=0$ the value(s) of $x$ obtained are the solution(s) to the quadratic equation $a{{x}^{2}}+bx+c=0$. Tip: To find the solutions (i.e. value(s) of $x$) of the quadratic equation $a{{x}^{2}}+bx+c=0$, draw the corresponding quadratic graph of $y=a{{x}^{2}}+bx+c$ first, then these solutions will be the value(s) of the $x$-coordinate of the point(s) of intersection of the quadratic graph with the $x$-axis (equation is $y=0$) as shown in the diagram below:

Accepted Answer

The solutions are the $x$-coordinates where $y=ax^2+bx+c$ intersects the $x$-axis.

Solving Quadratic Equations by Graphical Method

Solving Quadratic Equations by Graphical Method

Solution:

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