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Q+. Determine the nature of roots of thefollowing Quadratic equation1) - 2x²-4x+3=02) x ² + lox+39=03) k^2x^2 + kx+1=04)2x² + x -1 = 0 |
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Answer» Step-by-step explanation: We've to use the formula in each part:- D=(b)^2 -4ac (1) D= b^ -4ac
'cause D>0 Therefore, The ROOTS're real an' UNEQUAL (2) D=b^2 - 4AC = 10^2 -4*1*39 = 100-156 = -56 'cause D<0 Therefore the roots are not real (3(K^2)(x^2) +kx +1 =0 D = k^2 -4* k^2* 1 = k^2 -4(k^2) = -3ksq. 'cause D<0 therefore, the roots are not real. (4) D= 1^2 -4*(2)*(-1) = 1+8 = 9 'cause D>0 therefore, The roots are real and unequal. |
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