|
Question 33217:
Found 2 solutions by sarah_adam, mszlmb:
Answer by sarah_adam(201)   (Show Source):
Answer by mszlmb(115)  (Show Source):
You can put this solution on YOUR website! Hey check this out in case I do it wrong myself!
You know the quadratic formula is  .
You also know that A, B, and C come in the equation like this Ax^2+Bx+C.
In this case, A=3 B=-4 C=-5. You plug them in to the equation (replace letters with numbers) and we have  .
Well your answer breaks down to  .
[the four is positive because 2 negatives make a positive, the 16 is -4 squared, it's + 60 because -4*3*-5 = POSITIVE 60, and the 6 is 2*3.]
Now, we simplify the square root.  is not an integer (whole number), so we simplify it.
76 is evenly divisible by 2, because its 1's place digit is evens. 76/2 is 38, so 38(2)=76. Still, 38 ends evenly, so it is also divisible by 2. 38/2=19. so 19(2)=38. Nineteen is a prime number, not evenly divisible by any whole numbers but 1 and itself. 19*2*2=76.
We have 2*2*19 as our primes. 2*2 is the same as  is the same as 4.  = 2, so we take 4's root (2) outside of the square root.
Our answer is  . One plus or minus can go, since either way we will plus or minus, and the 4,2, and 6 have a common factor of 2. The equation simplifies again to  . We don't need the one:  . The answers are  and  .
I'll allow your imagination to take over the second problem, the answers are 1/2 and 1. IM me if you need more help.
| |
|
| |
