If a+b+c=19 and sum of their squares is 133 , square of b= ac then c-a =?

THIS VIDEO IS INCLUDING ONE OF THE MOST IMPORTANT QUESTION FROM THE TOPIC APPLICATION OF ALGEBRAIC IDENTITIES AND THE QUESTION IS IF THERE ARE THREE NUMBERS SUCH THAT THEIR SUM IS 19 AND THE SUM OF THEIR SQUARES IS 133 , ALSO IF SQUARE OF A NUMBER IS EQUAL TO THE PRODUCT OF OTHER TWO NUMBERS , FIND ALL THE THREE NUMBERS. THIS QUESTION ALSO MAY BE IN AN ANOTHER WAY : IF a+b+c=19 , b^2=ac,a^2+b^2+c^2=133 THEN WHAT WILL BE THE VALUE OF c-a.APPLICATION OF ALGEBRAIC IDENTITIES, MOST IMPORTANT QUESTIONS FOR COMPETITIVE EXAMS SUCH AS SSC HSSC RAILWAY POLICE ARMY CLERK CGL UPSC NDA AND OTHER COMPETITIVE EXAMS
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