Jason can check his answer by plugging in 6.5 for x
X+Y=10
XY=-300
Solve for one of the variables
X=10-Y
Plug into the other equation
Y(10-Y)=-300
Now, you have a quadratic...
-y²-10y+300=0
I would multiply everything by -1, so there's no coefficient on y²
y²+10y-300=0
And solve...
-10±√(100-4(-300))
----------------------------
2
Y=-5±5√(13)
Plug back onto original equation...
X+(-5±5√(13))=10
X±5√(13)=15
X=15±5√(13)
Note: There are 2 sets of answers, keep the negatives with the negatives, and the positives with the positives when dealing with the ±.
Answer:
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Step-by-step explanation:
Sushi and Fiona win some money. Fiona got £ 52
<h3><u>Solution:</u></h3>
Given that, Sushi and Fiona win some money and share it in the ratio 3 : 4
Sushil gets £39
To find: Share of fiona
Given ratio is:
share of Sushi : share of of Fiona = 3 : 4
Let the share of Sushil be 3x
Let the share of Fiona be 4x
Given share of Sushil = 39
3x = 39
x = 13
Thus share of Fiona = 4x = 4(13) = 52
Thus Fiona got £ 52