Question

solution please i need it​

Answer 1

a)

Let's solve your equation step-by-step.

3x² − 11x + 6 =0

Step 1: Factor left side of equation.

(3x − 2) (x − 3) = 0

Step 2: Set factors equal to 0.

3x − 2 = 0 or x − 3 = 0

x = 2/3

or

x = 3

Answer 2

Answer:

Step-by-step explanation:

a) 3x² - 11x + 6 = 0

⇒3x² - 9x - 2x + 6 = 0

⇒3x ( x - 3 ) - 2 ( x - 3 ) = 0

⇒( x - 3 ) ( 3x- 2 ) = 0

b) Let p ( x ) = 4x² + 8x - 5 = 0

By comparing with ax² + bx + c = 0 , we have a = 4 , b = 8 and c = - 5.

By using quadratic formula,

x = - b ± √b² - 4ac /2a

= - 8 ± √ ( 8 )² - 4 ( 4 ) ( - 5 ) / 2 ( 4 )

= - 8 ± √64 + 80 / 8

= - 8 ± √144 / 8

= - 8 ± 12/8

= - 8 ± 3/2

= - 8 - 3/2 or - 8 + 3/2

= ( - 16 - 3 ) / 2 or ( - 16 + 3 ) / 2

= - 19/2 or - 13/2 is the answer.