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Solve the following equation for x and give, in the following case, your answer correct to one decimal place: x2 – 8x + 5 = 0 - Mathematics

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प्रश्न

Solve the following equation for x and give, in the following case, your answer correct to one decimal place:

x2 – 8x + 5 = 0

योग

उत्तर

x2 – 8x + 5 = 0

Here a = 1, b = – 8 and c = 5

∴ `x = (-b +- sqrt(b^2 - 4ac))/(2a)`

= `(-(-8) +- sqrt((-8)^2 - 4(1)(5)))/(2(1))`

= `(8 +- sqrt(44))/2`

= `(8 +- 2sqrt11)/2`

= `4 +- sqrt11`

= 4 ± 3.3

= 7.3 and 0.7

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अध्याय 5: Quadratic Equations - Exercise 5 (D) [पृष्ठ ६४]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 5 Quadratic Equations
Exercise 5 (D) | Q 2.1 | पृष्ठ ६४
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