For what value of p are the roots of th eq are real and equal 4x\'2+Px

1.	For what value of p are the roots of th eq are real and equal 4x\'2+Px+3
Answer» We have the following equation,4x2\xa0+ px + 3 = 0This is the form of ax2\xa0+ bx + c = 0, wherea = 4, b = p and c = 3For real and equal roots, we must haveD = 0{tex}\\Rightarrow{/tex}\xa0b2\xa0- 4ac = 0{tex}\\Rightarrow{/tex}\xa0p2\xa0- 4(4) (3) = 0{tex}\\Rightarrow{/tex}\xa0p2\xa0- 48 = 0{tex}\\Rightarrow{/tex}\xa0p2\xa0= 48{tex}\\Rightarrow{/tex}\xa0p =\xa0{tex}\\pm 4 \\sqrt { 3 }{/tex}

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