-1 Deepak BoraNewbie Asked: July 26, 20202020-07-26T21:58:13+05:30 2020-07-26T21:58:13+05:30In: CBSE Write all the values of p for which the quadratic equation x² + px + 16 = 0 has equal roots. Find the roots of the equation so obtained. -1 CBSE 10th Class past year question paper Year 2019 SET 1, Code Number 30/2/1 Question number – 22 cbse 10th classncert class 10thprevious year paper Share Facebook 1 Answer Voted Oldest Recent Deepak Bora Newbie 2020-07-28T21:50:28+05:30Added an answer on July 28, 2020 at 9:50 pm This answer was edited. x² + px + 16 = 0 have equal roots if D = p² – 4(16)(1) = 0 p² = 64 p = ±8 ∴ x² ± 8x + 16 = 0 (x ± 4)² = 0 x ± 4 = 0 ∴ Roots are x = –4 and x = 4 3 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 The diameter of a circle is 10 cm. Find the length of the arc, when the corresponding central ... A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid ... A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, ... A milk container is made of metal sheet in the shape of frustum of a cone whose volume ... A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm³ ...

This answer was edited.have equal roots if

D = p² – 4(16)(1) = 0

p² = 64

p = ±8

∴ x² ± 8x + 16 = 0

(x ± 4)² = 0

x ± 4 = 0

∴ Roots are x = –4 and x = 4