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Hong Kong
Stage 4 - Stage 5

The Number and Nature of Solutions

Interactive practice questions

Below is the result after using the quadratic formula to solve an equation.

$x=\frac{10\pm\sqrt{-1}}{8}$x=10±18

The equation has two real solutions.

A

The equation has one real solution.

B

The equation has no real solution.

C
Easy
< 1min

How many real solutions are there to the equation $x^2=9$x2=9?

Easy
< 1min

How many real solutions are there to the equation $\left(x-7\right)^2=0$(x7)2=0?

Easy
< 1min

How many real solutions are there to the equation $\left(x-6\right)^2=-2$(x6)2=2?

Easy
< 1min
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