if the roots of the equation a(b c)x^2+b(c a)x+c(a b)=0 are equal and a,b,c>0, then prove that 2/b=1/a+1/c, i.e., a,b,c are in H.P.
![matrices - Prove that the determinant is $(a-b)(b-c)(c-a)(a^2 + b^2 + c^2 )$ - Mathematics Stack Exchange matrices - Prove that the determinant is $(a-b)(b-c)(c-a)(a^2 + b^2 + c^2 )$ - Mathematics Stack Exchange](https://i.stack.imgur.com/WqPIX.jpg)
matrices - Prove that the determinant is $(a-b)(b-c)(c-a)(a^2 + b^2 + c^2 )$ - Mathematics Stack Exchange
How to prove [math]a^2+b^2+c^2-ab-bc-ca[/math] is non-negative for all values of [math] a, b,[/math] and [math]c - Quora
How to prove [math]a^2+b^2+c^2-ab-bc-ca[/math] is non-negative for all values of [math] a, b,[/math] and [math]c - Quora
![matrices - Prove that the determinant is $(a-b)(b-c)(c-a)(a^2 + b^2 + c^2 )$ - Mathematics Stack Exchange matrices - Prove that the determinant is $(a-b)(b-c)(c-a)(a^2 + b^2 + c^2 )$ - Mathematics Stack Exchange](https://i.stack.imgur.com/dPZKQ.jpg)
matrices - Prove that the determinant is $(a-b)(b-c)(c-a)(a^2 + b^2 + c^2 )$ - Mathematics Stack Exchange
Using properties of determinants, prove that |(a,b,c)(a2,b2,c2)(bc,ca,ca)| = (a-b)(b-c)(c-a)(ab+bc+ca) - Sarthaks eConnect | Largest Online Education Community
![radicals - Use the Cauchy-Schwarz Inequality to prove that $a^2+b^2+c^2 \ge ab+ac+bc $ for all positive $a,b,c$. - Mathematics Stack Exchange radicals - Use the Cauchy-Schwarz Inequality to prove that $a^2+b^2+c^2 \ge ab+ac+bc $ for all positive $a,b,c$. - Mathematics Stack Exchange](https://i.stack.imgur.com/UVS3U.png)
radicals - Use the Cauchy-Schwarz Inequality to prove that $a^2+b^2+c^2 \ge ab+ac+bc $ for all positive $a,b,c$. - Mathematics Stack Exchange
![If the roots of the equation (c2–ab)x2–2(a2–bc)x + b2–ac = 0 are equal, prove that either a = 0 or a3+ - Brainly.in If the roots of the equation (c2–ab)x2–2(a2–bc)x + b2–ac = 0 are equal, prove that either a = 0 or a3+ - Brainly.in](https://hi-static.z-dn.net/files/d45/6b1403303834b59179f3cb94266e0647.jpg)
If the roots of the equation (c2–ab)x2–2(a2–bc)x + b2–ac = 0 are equal, prove that either a = 0 or a3+ - Brainly.in
![If Two Roots Of The Quadratic Equation (b-c) X²+(c-a)x+(a-b)=0 Are Equal, Then Let Us Prove That, 2b=a+c - ConceptEra If Two Roots Of The Quadratic Equation (b-c) X²+(c-a)x+(a-b)=0 Are Equal, Then Let Us Prove That, 2b=a+c - ConceptEra](https://conceptera.in/wp-content/uploads/2021/10/1.5-5.jpg)