The roots of `(x-a)(x- b)=abx^2` (a) are always real (c) are real and equal if and only if `a=...

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Prove that the roots of the equation (x-a)(x-b)=h² are always real; if a, b and h are real numbers. Prove that the roots of the equation (x-a)(x-b)=h² are always real; if a, b and h are real numbers.
prove that the roots of (x - a)(x - b) = h^ 2 are always real. prove that the roots of (x - a)(x - b) = h^ 2 are always real.
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If abcd, then the roots of the equation (x-a) (x-c)+2(x-b)(x-d)=0 are real and distinct. (1984,1 ... If abcd, then the roots of the equation (x-a) (x-c)+2(x-b)(x-d)=0 are real and distinct. (1984,1 ...
Show that roots of the equation \( (x-a)(x-b)=a b x^{2} ; a, b \in \mathbf{R} \) are always real... Show that roots of the equation \( (x-a)(x-b)=a b x^{2} ; a, b \in \mathbf{R} \) are always real...
Prove that the roots of \( (x-a)(x-b)=h^{2} \) are always real. Prove that the roots of \( (x-a)(x-b)=h^{2} \) are always real.
If a,b,c∈R distinct, f(x)=a^2(x-a)(x-c)/(a-b)(a-c)+b^2(x-c)(x-a)/(b-c)(b-a)+ c^2(x-a)(x-b)/(c-a)(c-b If a,b,c∈R distinct, f(x)=a^2(x-a)(x-c)/(a-b)(a-c)+b^2(x-c)(x-a)/(b-c)(b-a)+ c^2(x-a)(x-b)/(c-a)(c-b
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