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प्रश्न
Solve the following quadratic equation using formula method only
4 - 11 x = 3x2
उत्तर
4 - 11 x = 3x2
3x2 + 11x - 4 = 0
a = 3 ; b = 11 ; c = -4
D = b2 - 4ac
= (11)2 - 4(3)(-4)
= 121 + 48
= 169
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(- 11 +- sqrt 169)/6`
x = `(-11 +13)/6` , x = `(- 11 -13)/6`
x = `2/6` , x = `-24/6`
x = `1/3` , x = -4
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