Find all real and complex solutions of the quadratic equation $6 x ^ { 2 } - 5 x = 0$ .

A) $0,560,\frac { 5 } { 6 }$
B) $\frac { 5 } { 6 } i$
C) $365\frac { 36 } { 5 }$
D) $56i\frac { 5 } { 6 } i$
E) $\frac { 6 } { 5 }$

Question

Find all real and complex solutions of the quadratic equation   6 x 2 − 5 x = 0 6 x ^ { 2 } - 5 x = 0 6 x 2 − 5 x = 0  .A)    0 , 5 6 0,\frac { 5 } { 6 } 0 , 6 5 ​ B)    0 , 5 6 i 0 , \frac { 5 } { 6 } i 0 , 6 5 ​ i C)    36 5 \frac { 36 } { 5 } 5 36 ​ D)    5 6 i \frac { 5 } { 6 } i 6 5 ​ i E)    0 , 6 5 0 , \frac { 6 } { 5 } 0 , 5 6 ​

Roshona Blanks · Accepted Answer

Final Answer : A, Explanation :   Factoring out   x x x   gives   x ( 6 x − 5 ) = 0 x(6x - 5) = 0 x ( 6 x − 5 ) = 0  , leading to solutions   x = 0 x = 0 x = 0   and   x = 5 6 x = \frac{5}{6} x = 6 5 ​  .

Find all real and complex solutions of the quadratic equation $6 x ^ { 2 } - 5 x = 0$ .

A) $0,560,\frac { 5 } { 6 }$
B) $\frac { 5 } { 6 } i$
C) $365\frac { 36 } { 5 }$
D) $56i\frac { 5 } { 6 } i$
E) $\frac { 6 } { 5 }$

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Learning Objectives

Related questions

Find all real and complex solutions of the quadratic equation 6x2−5x=06 x ^ { 2 } - 5 x = 06x2−5x=0 .A) 0,560,\frac { 5 } { 6 }0,65​ B) 0,56i0 , \frac { 5 } { 6 } i0,65​i C) 365\frac { 36 } { 5 }536​ D) 56i\frac { 5 } { 6 } i65​i E) 0,650 , \frac { 6 } { 5 }0,56​

Definitions

Learning Objectives

Learning Objectives

Related questions

Find all real and complex solutions of the quadratic equation $6 x ^ { 2 } - 5 x = 0$ .

A) $0,560,\frac { 5 } { 6 }$
B) $\frac { 5 } { 6 } i$
C) $365\frac { 36 } { 5 }$
D) $56i\frac { 5 } { 6 } i$
E) $\frac { 6 } { 5 }$