Question

Solve w2 + 2 w - 24 = 0.

Answer 1

Hello!

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In order to solve this equation for w, we need to factor it.

First, let's think of 2 numbers that multiply to -24 and add to 2.

These numbers are -4 and 6.

Check:

6×(-4)=-24 ✓

6+(-4)=6-4=2✓

Now, factor:

( ) ( )

That's how it should look like:

(w+ )( w- )

Now, instead of the blanks, plug in -4 & 6:

(w-4)(w+6)

Now, set each factor equal to 0:

w-4=0

w=4

w+6=0

w=-6

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Answer 2

w= -6

w= 4

Explanation:

w= -b sqrt(b^2-4ac)

2a

let

a=1

b=2

c= -24

substitute values~