Find the values of k for which the roots are real and equal in each of the following equations:(i) kx2+4x+1=0(ii) kx2-25x+4=0(iii) 3x2-5x+2k=0(iv) 4x2+kx+9=0(v) 2kx2-40x+25=0(vi) 9x2-24x+k=0(vii) 4x2-3kx+1=0(viii) x2-25+2kx+37+10k=0(ix) 3k+1x2+2k+1x+k=0(x) kx2+kx+1=-4x2-x(xi) k+1x2+2k+3x+k+8=0(xii) x2-2kx+7k-12=0(xiii) k+1x2-23k+1x+8k+1=0(xiv) 2k+1x2+2k+3x+k+5=0(xvii) 4x2-2k+1x+k+4=0(xviii) x2-2k+1x+k2=0(xix) k2x2-22k-1x+4=0(xx) k+1x2-2k-1x+1=0(xxi) 2x2+kx+3=0(xxii) kxx-2+6=0(xxiii) x2-4kx+k=0(xxiv) kxx-25+10=0(xxv) px(x-3)+9=0(xxvi) 4x2+px+3=0

Find the values of k for which the roots are real and equal in each of

1.	Find the values of k for which the roots are real and equal in each of the following equations:(i) kx2+4x+1=0(ii) kx2-25x+4=0(iii) 3x2-5x+2k=0(iv) 4x2+kx+9=0(v) 2kx2-40x+25=0(vi) 9x2-24x+k=0(vii) 4x2-3kx+1=0(viii) x2-25+2kx+37+10k=0(ix) 3k+1x2+2k+1x+k=0(x) kx2+kx+1=-4x2-x(xi) k+1x2+2k+3x+k+8=0(xii) x2-2kx+7k-12=0(xiii) k+1x2-23k+1x+8k+1=0(xiv) 2k+1x2+2k+3x+k+5=0(xvii) 4x2-2k+1x+k+4=0(xviii) x2-2k+1x+k2=0(xix) k2x2-22k-1x+4=0(xx) k+1x2-2k-1x+1=0(xxi) 2x2+kx+3=0(xxii) kxx-2+6=0(xxiii) x2-4kx+k=0(xxiv) kxx-25+10=0(xxv) px(x-3)+9=0(xxvi) 4x2+px+3=0
Answer» Find the values of k for which the roots are real and equal in each of the following equations: (i) $k x^{2} + 4 x + 1 = 0$ (ii) $k x^{2} - 2 \sqrt{5} x + 4 = 0$ (iii) $3 x^{2} - 5 x + 2 k = 0$ (iv) $4 x^{2} + k x + 9 = 0$ (v) $2 k x^{2} - 40 x + 25 = 0$ (vi) $9 x^{2} - 24 x + k = 0$ (vii) $4 x^{2} - 3 k x + 1 = 0$ (viii) $x^{2} - 2 (5 + 2 k) x + 3 (7 + 10 k) = 0$ (ix) $(3 k + 1) x^{2} + 2 (k + 1) x + k = 0$ (x) $k x^{2} + k x + 1 = - 4 x^{2} - x$ (xi) $(k + 1) x^{2} + 2 (k + 3) x + (k + 8) = 0$ (xii) $x^{2} - 2 k x + 7 k - 12 = 0$ (xiii) $(k + 1) x^{2} - 2 (3 k + 1) x + 8 k + 1 = 0$ (xiv) $(2 k + 1) x^{2} + 2 (k + 3) x + (k + 5) = 0$ (xvii) $4 x^{2} - 2 (k + 1) x + (k + 4) = 0$ (xviii) $x^{2} - 2 (k + 1) x + k^{2} = 0$ (xix) $k^{2} x^{2} - 2 (2 k - 1) x + 4 = 0$ (xx) $(k + 1) x^{2} - 2 (k - 1) x + 1 = 0$ (xxi) $2 x^{2} + k x + 3 = 0$ (xxii) $k x (x - 2) + 6 = 0$ (xxiii) $x^{2} - 4 k x + k = 0$ (xxiv) $k x (x - 2 \sqrt{5}) + 10 = 0$ (xxv) $p x (x - 3) + 9 = 0$ (xxvi) $4 x^{2} + p x + 3 = 0$

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