by the method of completing the square show that the equation 4x square + 3 X + 5 =0 has no real roots
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4x²+3x+5 = 0
add and subtract 9/16
4x²+3x +(9/16)+5-(9/16)= 0
(2x+(3/4))² +71/16= 0
(2x+(3/4))² = -71/16
since square of any real number can not be negative thus the equation have no real roots
add and subtract 9/16
4x²+3x +(9/16)+5-(9/16)= 0
(2x+(3/4))² +71/16= 0
(2x+(3/4))² = -71/16
since square of any real number can not be negative thus the equation have no real roots
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Answer:
4x²+3x+5=0
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