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1.06 Further quadratic equations

Interactive practice questions

Consider the equation $2x^2-7=0$2x27=0.

a

Are $\frac{\sqrt{7}}{2}$72 and $-\frac{\sqrt{7}}{2}$72 the solutions of the equation?

There is not enough information to determine if $\frac{\sqrt{7}}{2}$72 and $-\frac{\sqrt{7}}{2}$72 are solutions of the equation.

A

No, $\frac{\sqrt{7}}{2}$72 and $-\frac{\sqrt{7}}{2}$72 are not solutions of the equation.

B

$\frac{\sqrt{7}}{2}$72 and $-\frac{\sqrt{7}}{2}$72 are only some of the solutions of the equation.

C

Yes, $\frac{\sqrt{7}}{2}$72 and $-\frac{\sqrt{7}}{2}$72 are the only solutions of the equation.

D
b

Which of the following are the solutions of the equation? Select the two correct options.

$x=\pm\sqrt{\frac{7}{2}}$x=±72

A

$x=\pm\frac{\sqrt{14}}{7}$x=±147

B

$x=\pm\frac{\sqrt{14}}{2}$x=±142

C

$x=\pm\sqrt{\frac{2}{7}}$x=±27

D
Easy
2min

Solve $x^2+6x-55=0$x2+6x55=0 for $x$x.

Easy
1min

Consider the equation $x\left(x+9\right)=-20$x(x+9)=20.

Easy
6min

Solve for the unknown, leaving your answer in exact form.

$8-7m-m^2=-2m^2+m+2$87mm2=2m2+m+2

Easy
4min
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Outcomes

1.1.9

solve quadratic equations including the use of the quadratic formula and completing the square

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