solve 2x^2+10x-72=0
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Answered by
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
8
________________________________
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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