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Flauer [41]
3 years ago
15

Simple Quadratic Equation help please! worth 50 points :) ill be giving brainliest

Mathematics
2 answers:
likoan [24]3 years ago
8 0

Answer:

The answer is x= 3,2

Step-by-step explanation:

So the equation can be written in the form of (x+a)*(x+b)

Where (x+a),(x+b) are factors of the equation.

So by expanding we get x^2+(a+b)x+ab.

By comparing the above equation with the given equation we get a+b=5, ab= 6

We know that (a-b)^2=(a+b)^2–4ab

So we get (a-b)^2=(5)^2–4(6)

(a-b)^2=25–24

(a-b)^2=1

(a-b)=+1 or -1

So a-b=+1 or -1

So a+b=5 and let a-b=1

Adding both equations we get 2a=6

So a=3 and substituting a in the above one of the equation we get b=2

Similarly by taking a-b=-1we get

a=2 and b=3

So the factors of the given equation are

(x+2) and (x+3)

GuDViN [60]3 years ago
7 0

Answer:

x= -2 or -3

Step-by-step explanation:

Let's solve your equation step-by-step.

x^2+5x+6=0

Step 1: Factor left side of equation.

(x+2)(x+3)=0

Step 2: Set factors equal to 0.

x+2=0 or x+3=0

x=−2 or x=−3

just a rough estimate!

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3000 Quick answer
Let your calculator do the work. Be careful how you enter this in. (Are you supposed to estimate it? We'll get around to that.) Write it like this.

1.2 * 10^3 divided by 4 * 10^-1 Your calculator will do this nicely. The trick is the - 1. Put it in the calculator like this.
1.2 
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1.2 * 10^3 means shift the decimal 3 places right. 1 200 which is 1200
4 * 10^-1 can be handled 2 ways 10 to the minus 1 in the denominator becomes 10^1 in the numerator. Notice the sign change on the 10 when you shift if :it becomes plus! That's why you did it.

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The first method always works. The second one gives you a better understanding of how powers work. There are other ways of doing this, but these are the two best, I think.
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