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Solve the Following Quadratic Equation Using Formula Method Only - Mathematics

Sum

Solve the following quadratic equation using formula method only :

16x2 = 24x + 1 

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Solution

16x2 = 24x + 1 

16x2 - 24x - 1 = 0

`"x"^2 - 3/2 "x" - 1/16 = 0`

a = 1 ; b = `-3/2` ; c  =`- 1/16` 

D = b2 - 4ac

`= (- 3/2)^2 - 4(1)(-1/16)`

`= 9/4 + 1/4`

`= 10/4`

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

x = `(- (- 3/2) ± sqrt (10/4))/(2 xx 1)`

x = `(3 + sqrt 10)/4` , x = `(3 - sqrt(10))/4`

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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 6 Quadratic Equations
Exercise 6.2 | Q 3.01
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