The diagram shows the graph of the function \(y = - 2{x^2} + 12x - 10\).
Use the graph to solve the equation \(- 2{x^2} + 12x - 10 = 0\)
\[x = 1,\,x = 5\]
\[x = 3\]
\[x = - 10\]
Solve the following quadratic equation:
\[(x - 3)(x + 4) = 0\]
\[x = 3\,and\,x = 4\]
\[x = 3\,and\,x = - 4\]
\[x = - 3\,and\,x = 4\]
\[{x^2} + 3x - 28 = 0\]
\[x = - 7\,and\,x = 4\]
\[x = - 7\,and\,x = - 4\]
\[x = 7\,and\,x = 4\]
\[6{x^2} - 7x - 3 = 0\]
\[x = - 3\,and\,x = - 2\]
\[x = - \frac{1}{3}\,and\,x = \frac{3}{2}\]
\[x = \frac{1}{3}\,and\,x = - \frac{3}{2}\]
Solve the following quadratic equation: \((x+2)(x-3)=0\)
\[x=-2~and~x=3\]
\[2~and~x=-3\]
\[4~and~x=9\]
Solve the equation \(x^2+5x=-6\)
\[x=5~and~x=1\]
\[x=-5~and~x=-1\]
\[x=-2~and~x=-3\]
Solve the equation \(2{x^2}+10x=28\)
\[x=-2~and~x=7\]
\[x=2~and~x=-7\]
\[x=4~and~x=7\]
Solve the quadratic equation \(x^2-4x+3=0\) by completing a table, plotting the points and drawing the parabola then reading off the roots from the graph.
\[x=1~and~x=3\]
\[x=-1~and~x=-3\]
\[x=-1~and~x=3\]