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प्रश्न
Solve the following quadratic equation using formula method only
`"x"^2 + 1/2 "x" - 1 = 0`
उत्तर
`"x"^2 + 1/2 "x" - 1 = 0`
2x2 + x - 2 = 0
a = 2 ; b = 1 ; c = -2
D =b2 - 4ac
= (1)2 - 4(2)(-2)
= 1 + 16
= 17
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-1 +- sqrt 17)/4`
x = `(-1 + sqrt 17)/4` , x = `(-1 - sqrt 17)/4`
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