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2 years ago

Find two consecutive positive integers such that the sum of their squares is 145

Mathematics

1 answer:

DerKrebs [107]2 years ago

7 0

Answer:

8,9

Step-by-step explanation:

(x)^2+(x+1)^2=145

x²+x²+2x+1=145

2x²+2x+1-145=0

x²+x-72=0

x²+9x-8x-72=0

x(x+9)-8(x+9)=0

(x+9)(x-8)=0

x=-9(rejected being negative)

x=8

x+1=8+1=9

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Answer:

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Rectangle 4 = 3x+y

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Step-by-step explanation:

4x+3y and 2x-y can be added to find result for the circle.

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So, The result is: C1=6x+2y

Now, We need to solve:

Let R1 represent rectangle 4

x+4y + R1 = 4x+5y

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Let C4= Circle 4

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2 years ago

The difference of the present ages of two sister in 5 yrs

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Answer:

4 and 9

Step-by-step explanation:

let their ages be x and x - 5, then in 4 years their ages will be

x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus

(x + 4)(x - 1) = 104 ← expand factors on left using FOIL

x² + 3x - 4 = 104 ( subtract 104 from both sides )

x² + 3x - 108 = 0 ← in standard form

(x + 12)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

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