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What is the quadratic equation which sum of roots is ⅔ and product is ½?

A. 6x²+4x+3=0
B. 6x²-4x-3=0
C. 6x²-4x+3=0
D. 6x²+4x-3=0​


Sagot :

[tex] \tt{C : {\boxed{ \tt{6 {x}^{2} - 4x + 3 = 0 }}}}[/tex]

Answer:

[tex] \boxed{\tt{x {}^{2} - ( \frac{ - b}{a}) x + ( \frac{c}{a} ) = 0}}[/tex]

[tex] {x}^{2} - ( \frac{ 2}{3} )x + ( \frac{1}{2} ) = 0[/tex]

[tex] (6){x}^{2} - (6) \frac{ 2}{3} x + (6) \frac{1}{2} = 0[/tex]

[tex] \boxed{\boxed{6 {x}^{2} - 4x + 3 = 0}}[/tex]