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:
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When solving a pair of simultaneous equations

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 $a{{x}^{2}}+bx+c=0$.

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:

Solving Quadratic Equations by Graphical Method

Solving Quadratic Equations by Graphical Method

Solution:

Handwritten & Typed Solutions