The quadratic equation whose roots are twice the roots of 2x2 -5x + 2 = 0 is
a) 8-10x2=0 b)x - 4x + 4 = 0
c) 2x - 5x + 2 = 0 d) x? - 5x + 4 = 0
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Step-by-step explanation:
2x² - 5x + 2 = 0
2x² - 4x - x + 2 = 0
2x(x - 2) - (x - 2) = 0
(x - 2) ( 2x - 1 ) = 0
x = 2 or 1/2
given tha for the new equation the roots are double
so the roota are 4 , 1
the equation is
x² - (4 + 1) + (4*1) = 0
x² - 5x + 4 = 0 so the equation is x² - 5x + 4 = 0
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