Question

5. Solve the following. a) (x+3)(x−5)=0 b. (2x+1)(3x−5)=0

Answer 1

Answer: Below

Explanation:

Our task is to solve:

(x + 3)(x - 5) = 0

Since it's in factored form, all we need to do is solve these equations:

x + 3 = 0 x - 5 = 0

x = -3 x = 5

Where did the equations come from?

Well, since (x + 3)(x - 5) is equal to 0, either (x - 3) is 0 or (x - 5) is 0.

We write them as equations - and solve.

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Next, we will solve the following:

`\sf{(2x + 1)(3x - 5) = 0}`

Write the equations and solve for x:

`\sf{2x + 1 = 0 \phantom{1234543} \; 3x - 5 = 0}`

`\sf{2x = -1 \phantom{1234543} 3x = 5}`

`\sf{x = -1/2}\phantom{1234565} x = 5/3`