Math, asked by Megha412, 11 months ago

solve 2x^2+10x-72=0​

Answers

Answered by Steph0303
9

Answer:

x = 4, -9

Step-by-step explanation:

Equation: 2x² + 10x - 72 = 0

Dividing the whole equation by common factor 2 we get,

⇒ x² + 5x - 36

Now splitting the middle term we get,

⇒ x² + 9x - 4x - 36 = 0

⇒ x ( x + 9 ) - 4 ( x + 9 ) = 0

⇒ ( x - 4 ) ( x + 9 ) = 0

⇒ x = 4, -9

Hence the values of x are 4 and -9.

Hope it helps !!

Answered by simran206
8
 <b >HEYA !!!

________________________________

2x^2 + 10x - 72 = 0

USING SPLITTING THE MIDDLE TERM METHOD :

2x^2 + 10 x - 72 = 0

2 ( x^2 + 5x - 36 ) = 0

x^2 +5x - 36 = 0

x^2 + 9x - 4x - 36 = 0

x(x+9) - 4(x + 9) = 0

(x + 9) (x - 4) =0

So ,

x = -9 & 4

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HOPE IT HELPS UH ✌✌
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