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If p – 15 = 0 and 2x2 + px + 25 = 0; find the values of x. - Mathematics

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प्रश्न

If p – 15 = 0 and 2x2 + px + 25 = 0; find the values of x.

योग

उत्तर

Given p 15 = 0

`=>` p = 15

So, the given quadratic equation becomes

2x2 + 15x + 25 = 0

`=>` 2x2 + 10x + 5x + 25 = 0

`=>` 2x(x + 5) + 5(x + 5) = 0

`=>` (x + 5)(2x + 5) = 0

Either x + 5 = 0 or 2x + 5 = 0

`x = -5` or `x = (-5)/2`

∴ `x = (-5)/2, -5`

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अध्याय 5: Quadratic Equations - Exercise 5 (F) [पृष्ठ ६७]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 5 Quadratic Equations
Exercise 5 (F) | Q 4 | पृष्ठ ६७
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