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12 votes
X^2+ 14x = -33
Quadratic equation

User MoonFruit
by
5.9k points

2 Answers

9 votes

Answer:

x = -3, -11

Explanation:

First, factor

Get all the terms on one side by adding 33 to both sides:


x^2 + 14x + 33 = 0

now, you want to find two numbers that add up to 14 and multiply to 33.

those numbers would be 3 and 11.

so you can then make it:


(x + 3)(x+11)=0

you know that either x + 3 or x + 11 = 0,

so you can say:

x + 3 = 0

x = -3

ork

x + 11 = 0

x = -11

so x = -3, -11.

For further info you can go to: bit. ly / khanacademyquadratics

User Naphat Amundsen
by
5.8k points
4 votes

x=-3

x=-11

because

x(x+14)=-33

so if x = -11 it will be 3*-11

and if x= -3 it will be -3*11

User AnirbanDebnath
by
5.7k points