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Solve the Following Quadratic Equation Using Formula Method Only - Mathematics

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Question

Solve the following quadratic equation using formula method only 

15x2 - 28 = x

Sum

Solution

15x2 - 28 = x

15x2 - x - 28 = x

a = 15 ; b = -1 ; c = -28

D = b2 - 4ac

= (-1)2 - 4(15)(-28)

= 1 + 1680

= 1681

x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`

x = `(1 +- sqrt 1681)/30`

x = `(1 + 41)/30` , x = `(1 - 41)/30`

x = `42/30` , x = `-40/30`

x = `7/5`   ,  x = `-4/3`

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Chapter 6: Quadratic Equations - Exercise 6.2

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 6 Quadratic Equations
Exercise 6.2 | Q 3.14
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