Solve x2 + 8x + 15 = 0?
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x2 + 8x = (-15) ==== x2 is the same as 2x so we switch the order.
2x + 8x = (-15) ==== Add 2x to 8x to get 10x
10x = (-15) ==== 10 goes into 15 exactly 1.5 times, to X= -1.5
Finnaly since a negative cannot be a variable, X = -1.5 is changed to X = 1.5.
I hope I helped and did not mess you up.
Here is a little info:
No fuss factoring: example
ax^2 +bx +c: –> 4x^2 + 11x + 6
(ax ) (ax ) –> (4x )(4x ) Multiply a and c: a*c,4*6=24
Find integers whose product is a*c, and whose sum equals b. Write these integers in the incomplete factors of step one.
24*1, 12*2, 6*4, 3*8, 1*24
Now b equals 11, which is 3+8 and 3*8=24 so the answer is :
(4x+8)(4x+3) Discard any common factors withing each parenthesis in the next step, the result is the end result:
(x+2)(4x+3)
If you memorize this method you should have an easier time.
X^ + 8x + 15 = 0
(X + 3 )(X + 5) = 0
X + 3 = 0
subtract 3 from each side
X + 5 = 0
subtract five from each side
x = -3, -5
(x+3)(x+5)=0
x=-3 or -5
B
x+5=0 , x+3=0
-5= -5, -3= -3
x= -5, x= -3
hope it helped
(x+5) (x+3) = 0
From this you can see that the answers are :
x = -5 and x = -3
the form of quadratic equation is ax2+bx+c=0
D=b2-4ac
x=(-b+^D)/2a and x=-b-^D/2a
SO:
D=64-60=4
x=(-8+^4)/2=3
and
x=(-8-^4)/2=-5
The correct answer is: A)3,-5