0 Deepak BoraNewbie Asked: July 12, 20202020-07-12T09:06:53+05:30 2020-07-12T09:06:53+05:30In: ICSE Solve the following equation by using formula 0 ? formulaquadratic equationquestion Share Facebook 1 Answer Voted Oldest Recent Deepak Bora Newbie 2020-07-13T12:12:31+05:30Added an answer on July 13, 2020 at 12:12 pm a(x²+1)= (a²+1)x ax² + a= (a²+1)x ax²-(a²+1)x+a=0 Using the quadratic formula X= -b±√b²-4ac/2a X= -(-a²-1)±√[-(a²+1)]²-4.a.a /2a X= a²+1±√a ^4+1+2a²-4a² /2a X= a²+1±√a^4+1-2a² /2a X = a²+1±√(a²-1)² /2a X= a²+1± a²-1 /2a ∴x= a²+1+a²-1 /2a & x= a²+1-a²+1 /2a x =a, & x= 1/a 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions Solve the following quadratic equation: √2x²+7x+5√2=0. Solve the following quadratic equation: x²+3√3x-30=0 Solve the following quadratic equation: x²-(√3-1)x+√3=0 Solve the following quadratic equation: x²-3√5x+10=0 Solve the following quadratic equation: √3x²-2√2x-2√3=0
a(x²+1)= (a²+1)x
ax² + a= (a²+1)x
ax²-(a²+1)x+a=0
Using the quadratic formula
X= -b±√b²-4ac/2a
X= -(-a²-1)±√[-(a²+1)]²-4.a.a /2a
X= a²+1±√a ^4+1+2a²-4a² /2a
X= a²+1±√a^4+1-2a² /2a
X = a²+1±√(a²-1)² /2a
X= a²+1± a²-1 /2a
∴x= a²+1+a²-1 /2a & x= a²+1-a²+1 /2a
x =a, & x= 1/a