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प्रश्न
Solve the following quadratic equation by using formula method :
7y2 - 5y - 2 = 0
उत्तर
7y2 - 5y - 2 = 0
Comparing with ax2 + bx + c = 0
a = 7, b = -5 and c = -2
b2 - 4ac = (-5)2 - 4(7) (-2)
= 25 + 56
= 81
By formula method
Y = `(-"b" ± sqrt(b^2 - 4"ac"))/"2a"`
= `(5 ± sqrt81)/"2(7)"`
= `(5 ± 9)/14`
Y = `(5 + 9)/14` Or Y = `(5 - 9)/14`
Y = `14/14` Or Y = `4/14`
Y = 1 Or Y = `(-2)/7`
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