for what value of p the quadratic equation have equal roots (p6+1)x²+2(p+3)x+(p+8)=0 by using b²-4ac=0

for what value of p the quadratic equation have equal roots (p6+1)x²+

1.	for what value of p the quadratic equation have equal roots (p6+1)x²+2(p+3)x+(p+8)=0 by using b²-4ac=0
Answer» <html><body><p><<a href="https://interviewquestions.tuteehub.com/tag/p-588962" style="font-weight:bold;" target="_blank" title="Click to know more about P">P</a>><strong>Ans:- as the roots are equal</strong></p><p><strong>D = b^<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a> -<a href="https://interviewquestions.tuteehub.com/tag/4ac-318871" style="font-weight:bold;" target="_blank" title="Click to know more about 4AC">4AC</a> = 0 </strong></p><p><strong>(p+3)^2 - 4(6p+1)(p+8) = 0 </strong></p><p><strong>p^2 +6p +9 - 4(6p^2+ 49p +8) = 0 </strong></p><p><strong>p^2 + 6p +9 - 24p^2 - 196p - 32 = 0</strong></p><p><strong>23p^2 + 190p - 23 = 0 </strong></p><p><strong>by applying quadratic formula </strong></p><p><strong>p = (- 95 + √9554)/23 and (- 95 + √9554)/23</strong></p><p><strong></strong></p><p><strong></strong></p><p><strong></strong></p><p><strong></strong></p><p></p><p><strong>Step-by-step explanation:Hope you liked the solution . Please mark me as <a href="https://interviewquestions.tuteehub.com/tag/brainliest-1995348" style="font-weight:bold;" target="_blank" title="Click to know more about BRAINLIEST">BRAINLIEST</a></strong></p><p></p></body></html>