A real number - is said to be the root of the quadratic equation ax-2 - bx nbsp- c - 0- if a-2 - b- - c - 0TrueFalse

A real number...

Question

A real number $α$ is said to be the root of the quadratic equation $a x^{2} + b x + c = 0$ , if $a α^{2} + b α + c = 0$

True

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False

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α

a x^{2} + b x + c = 0

a α^{2} + b α + c = 0

c \neq 0

α, β

a x^{2} + b x + c = 0

\frac{a α^{2} + c}{a α + b} + \frac{a β^{2} + c}{a β + b}

A real number α is said to be a root of ax²+bx+c =0

α, β

a x^{2} + b x + c = 0, a < 0

k

k > α > β

f (x) = a x^{2} + b x + c

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a x^{2} + b x + c = 0

\frac{1}{(a α)^{2}} + \frac{1}{(a β)^{2}}