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nasty-shy [4]
3 years ago
11

19. A quadratic equation is shown below.

Mathematics
1 answer:
victus00 [196]3 years ago
6 0

Answer:

\{\sqrt b, -\sqrt b\}

Step-by-step explanation:

Given

a^2 - b = 0

Required

Determine the solution

Since b is  a perfect square, the equation can be expressed as:

a^2 - (\sqrt b)^2 = 0

Apply difference of two squares:

(a - \sqrt b)(a + \sqrt b) = 0

Split:

(a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0

Remove brackets:

a - \sqrt b= 0 \ or\ a + \sqrt b = 0

Make a the subject in both equations

a =\sqrt b \ or\ a  =-\sqrt b

The solution can be represented as:

\{\sqrt b, -\sqrt b\}

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