i) Compare the given quadratic equations to the general form and write values of
a, b&c.
y2 = 5y - 10
If D=0
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GivenQuadraticEquation:2y=10−y
2
\implies y^{2} + 2y = 10⟹y
2
+2y=10
\implies y^{2} + 2y - 10 = 0⟹y
2
+2y−10=0
\begin{gathered}Compare \: above \:equation \: with \\ay^{2} + by + c = 0 ,we \: get \end{gathered}
Compareaboveequationwith
ay
2
+by+c=0,weget
a = 1 , \: b = 2 \: and \: c = -10a=1,b=2andc=−10
Therefore.,
\green { Required \: Equation : y^{2} + 2y - 10 = 0}RequiredEquation:y
2
+2y−10=0
\green { and \: a = 1 , \: b = 2 \: and \: c = -10 }anda=1,b=2andc=−10
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