What two numbers add up to 1 but multiply to -30

Answers

Answer 1
Answer: x;\ y-the\ numbers\n\n  \left\{\begin{array}{ccc}x+y=1&\to x=1-y\nxy=-30\end{array}\right\n\nsubtitute\ x=1-y\ to\ second\ equation:\n\n(1-y)y=-30\ny-y^2+30=0\n-y^2+y+30=0\ \ \ \  \ |change\ signs\ny^2-y-30=0\ny^2-6y+5y-30=0\ny(y-6)+5(y-6)=0\n(y-6)(y+5)=0\iff y-6=0\ or\ y+5=0\n\Downarrow\ny=6\ or\ y=-5

x=1-y\n\nfor\ y=6\Rightarrow x=1-6=-5\n\nfor\ y=-5\Rightarrow x=1-(-5)=1+5=6\n\n=======================================\nAnswer:\boxed{6}\ and\ \boxed{-5}

Related Questions

A 2 quart carton of chocolate milk costs $1.40.What is the price per pint?
Which answer lists these numbers in order from least to greatest? –12.3, 102, 12.38, –0.01, –12–12.3, 102, 12.38, –0.01, –12–12.3, –12, –0.01, 12.38, 102–12, –12.3, –0.01, 12.38, 102102, 12.38, –0.01, –12, –12.3
78 is 15% of what #? 1. | 3x - 2 | = 8 and | x + 1 | = 1What value of x satisfies both equations above? 1. -12. 23. 14. -2What is the slope of the line described by the 3y - 4x + 5 = 0 equation?1. 4/32. -5/33. 5/44. 3/4Please help.. Show work for ALL problems please.
Which strategy best explains how to solve this problem? Colin is preparing for a marathon by running in his neighborhood. The first week, he runs one block. The next week, he runs twice as many blocks as the first week (2 blocks). Each week, he plans to run twice as many blocks as he ran the week before. How many blocks will Colin run by the end of the sixth week? A. Use objects to model the problem. Put out 1 chip to represent the blocks run in week one. Put out twice that amount for week two. Put out twice that amount (from week two) for week three. Do this 3 more times, putting out twice the amount from the previous week each time. B. Make a table. In the first row, write first week - 2 blocks. In the next row, write second week - 4 blocks. In the third row, write third week -6 blocks. Continue this pattern for three more rows. C. Write a number sentence. (1 + 2) × 6 = x Add the number of blocks run in the first and 2nd week. Then multiply the sum by the number of weeks (6).
ricardo has 2 cases of video games with the same number of game in each cases . he give 4 games to his brothers . Ricardo has 10 games left. How many video games were in each case ?

janna jumoed 156 inches in the long jump competition at the high school track meet how many feet did janna jump

Answers

Janna jumped 13 feet. 156 /12= 13
Janna jumped 13 feet.

John had a watermelon with a mass of 3 kilograms. complete the bar model. then write the mass of the watermelonin grams.

Answers

3000 is 3 kilograms in grams

Answer:

Isaiah has a watermelon with a mass of 3 kilograms

Amelia uses 6 patches of fabric per square foot to make a blanket. How many patches of fabric will she need to make a blanket that is 720 square inches?

Answers

4,320 because if you take 720 and multiply it by 6 you get your answer

PLEASE Help this is due today

Answers

B. 3
—-
11 775 x b- 6

Yuh!!
I’m pretty sure the correct answer is B

A punch  recipe calls for 3 pints of orange juice does the recipe How many ounces oof oranges juice does it requirew

Answers

16 fl oz = 1 pint
16 x 3
48
48 fl oz = 3 pints

What's the answer witch ones r composite 14 15
16 17 18 19
20
21

Answers

A composite number is a number with more than 2 factors and 16, 18, 20, and 21 are composite.
14 and 15 are also composite:

14 - 1×14, 2×7
15 - 1×15, 3×5

the first person probably didn't see the first row of numbers