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CBSE Class 10 Answered

If -5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation  p(x2 + x)k = 0 has equal roots, find the value of k.
Asked by piyush | 28 May, 2018, 11:52: AM
answered-by-expert Expert Answer
begin mathsize 16px style negative 5 istherootof 2 straight x squared plus px minus 15 equals 0 rightwards double arrow 2 open parentheses negative 5 close parentheses squared plus straight p open parentheses negative 5 close parentheses minus 15 equals 0 rightwards double arrow 50 minus 5 straight p minus 15 equals 0 rightwards double arrow negative 5 straight p equals negative 35 rightwards double arrow space straight p space equals space 7 substituting space straight p space equals space 7 space in space straight p left parenthesis straight x squared space plus space straight x space right parenthesis straight k comma space we space get 7 left parenthesis straight x squared space plus space straight x space right parenthesis straight k space equals space 7 straight x squared straight k space plus space 7 xk space equals space 7 kx squared space plus space 7 kx space plus space 0 Since comma space straight p left parenthesis straight x squared space plus space straight x space right parenthesis straight k space straight k space has space equal space roots. rightwards double arrow straight b squared space minus space 4 ac space equals space 0 rightwards double arrow 49 straight k squared space equals space 0 rightwards double arrow space straight k space equals space 0 end style
Answered by Yasmeen Khan | 28 May, 2018, 12:24: PM

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