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NeTakaya
3 years ago
11

Which is a solution to (x - 2)(x + 10) = 13 ?

Mathematics
2 answers:
Fed [463]3 years ago
6 0

Answer:

2 and -10.

Step-by-step explanation:

(x-2)(x+10)=13

x^{2} +10x-2x-20 =13

x^{2} +8x-20 =13

x1=\frac{-8+\sqrt[2]{64-4(-20)} }{2}

x1=\frac{-8+\sqrt[2]{64+80} }{2}

x1=\frac{-8+12 }{2}

x1=2.

x2=\frac{-8-\sqrt[2]{64-4(-20)} }{2}

x2=\frac{-8-\sqrt[2]{64+80} }{2}

x2=\frac{-8-12 }{2}

x2=-10.

stiv31 [10]3 years ago
4 0
The answer is:
x=3,-11
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Step-by-step explanation:

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Step-by-step explanation:

We are given the following;

  • Distance traveled upstream = 168 km
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We are required to determine the speed of the boat in still water and the speed of the current.

We are going to take;

Speed of the boat as = x km/hr

Rate of flow of current = y km/hr

We can determine the speed of the boat upstream;

Speed = Distance ÷ time

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But, the speed downstream is given by (x+y) km/hr

Therefore, x+y km/hr = 70 km/hr ........................... Eqn 2

Solving Eqn 1 and Eqn 2 simultaneously;

x - y = 42

x + y = 70

Eliminating x

-2y = - 28

    y = 14 km/hr

Solving for x,

x = 42 + y

   = 42 + 14

   = 56 km/hr

Therefore, the speed of the boat is 56 km/hr while the rate of the current is 14 km/hr

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