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Ganezh [65]
2 years ago
6

Give the positive solution of x^2 – 36 = 5x.

Mathematics
1 answer:
andriy [413]2 years ago
5 0
The equation given in the question is 

x^2 - 36 = 5x
x^2 - 5x - 36 = 0
x^2 - 9x + 4x - 36 = 0
x(x - 9) + 4(x - 9) = 0
(x - 9) (x + 4) = 0
From the above set we can say that x = 9 is the positive solution of the equation given in the question. I hope that this is the answer that you were looking for and it has come to your great help.
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x^2 + 4x + 4

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( x + 2 )^2

The other expression is, on the other hand, not a perfect square so we must break this expression into groups and attempt factorization -

x^2 + 5x + 6,\\\left(x^2+2x\right)+\left(3x+6\right),\\x\left(x+2\right)+3\left(x+2\right),\\\left(x+2\right)\left(x+3\right)\\\\Factored Expression = \left(x+2\right)\left(x+3\right)

Combining ( x + 2 )^2 and ( x + 2 )( x + 3 ), the expression that contains factors of each is ( x + 2 )^2 * ( x + 3 ), or in other words the LCM.

<u><em>Solution = </em></u>\left(x+2\right)^2\left(x+3\right)<u><em /></u>

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Good morning ☕️

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