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2 years ago

(09.02 MC)

Mathematics

1 answer:

Alex17521 [72]2 years ago

6 0

Answer:

Answer: Segments AB / A"B" = √13 / 2 x √13

Step-by-step explanation

For help visit brainly.com/question/14801821

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Let t as y² + 5y .

${y}^{2} + 5y = t$

Rewrite the equation :

$t - \frac{36}{t} = 0 \\$

Multiply sides by t

$t \times (t - \frac{36}{t} ) = t \times 0 \\$

${t}^{2} - 36 = 0$

Add sides 36

${t}^{2} - 36 + 36 = 0 + 36$

${t}^{2} = 36$

$t = ± \: 6$

_________________________________

So :

${y}^{2} + 5y = 6$

Subtract sides 6

${y}^{2} + 5y - 6 = 6 - 6$

${y}^{2} + 5y - 6 = 0$

$(y + 6)(y - 1) = 0$

$y = - 6 \: \: or \: \: y = 1$

##############################

${y}^{2} +5y = - 6$

$No \: \: solution$

_________________________________

Thus (( y = 1 )) and (( y = - 6 )) are the roots of the equation .

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The sum of three numbers is 50. One number is five more than a second number. It is also twice the third. Find the numbers.

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Let
One Number = x
Second Number =x-10
Third Number=x/2

Sum of three numbers is 50
x+x-10+x/2=50
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Multiply by 2 both sides
2*(2x-10+x/2)=50*2

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5x=100+20
5x=120
x=120/5
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One number = x=24
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