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daser333 [38]
3 years ago
7

Please solve the following quadratic equation and show your work: x^2 -x =30

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
Rewriting the equation as a quadratic equation equal to zero:
     x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
     (x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
     x + 5 = 0  => x = -5
     x - 6 = 0  => x = 6
Therefore, our solutions are x = -5 and x = 6.
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Jack had 3 bottles of soda. Each bottle held 2 1/2 cups of soda. How many cups of soda did he have total?
lukranit [14]

Answer:

1 1/5 cups of soda.

Step-by-step explanation:

To solve this you need to change 3 and 2 1/2 into improper fractions so you get 6/2 and 5/2. Then you have to flip 5/2 so it becomes 2/5 and then you just have to cross cancel. Since the 2 from 2/5 can go into the 2 in 6/2 one time, 2/5 changes into 1/5 and 6/2 changes to 6/1. Now you can multiply across so 6 times 1 is 6 and 1 times 5 is 5 so you get 6/5. Now you have to change it into a mixed number which would be 1 1/5.

I hope this helps you :D

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3 years ago
Leah and Carl share a 12-ounce box of cereal. By the end of the week, Leah has eaten
Anton [14]

Answer: Use Fractions and Multiplication.

Step-by-step explanation:

To start, you need to find 1/6 of 12. The easiest way to do this is to multiply 12/1 by 1/6. The answer is 12/6, which simplifies to 2. Then, you do the same for 2/3: 12/1*2/3=24/3, which simplifies to 8. You then add the results to figure out how much has been eaten. 8+2=10

7 0
3 years ago
Find the real solution(s) of the following equation.
nydimaria [60]

Answer:

a=9

Step-by-step explanation:

a^3 = 729

Taking the cube root of each side

a^3 ^(1/3) = 729^ (1/3)

a = 9

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3 years ago
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