Question

solve the quadratic equation 9xsquare-15x+6=0 by completing the square whole questions read then give ans because this question give you 30 point only right answer allow

Answer 1

HELLO DEAR,

9X²-15X+6=0
${(3x)}^{2} - 15x + 6 = 0 \\ = > {(3x)}^{2} - \frac{3 \times 5 \times 2 \times x}{2} + {( \frac{5}{2} )}^{2} - { \frac{5}{2} }^{2} + 6 = 0 \\ = > {(3x - \frac{5}{2} )}^{2} - \frac{25}{2} + 6 = 0 \\ = > {(3x - \frac{5}{2} )}^{2} - \frac{25 + 24}{4} = 0 \\ = > {(3x - \frac{5}{2} )}^{2} = \frac{1}{4} \\ = > {(3x - \frac{5}{2} )}^{2} = { (\frac{1}{2}})^{2} \\ = > {(3x - \frac{5}{2} )} = + - \frac{1}{2} \\ = > take + sign \\ we \: get \\ {(3x - \frac{5}{2} )} = \frac{1}{2} \\ = > 3x = \frac{5}{2} + \frac{1}{2} \\ = > x = \frac{6}{3 \times 2} \\ = > x = 1 \\ \\ take - sign \\ we \: get \\ {(3x - \frac{5}{2} )} = - \frac{1}{2} \\ = > 3x = \frac{5}{2} - \frac{1}{2} \\ = > x = \frac{4}{2 \times 3} \\ = > x = \frac{2}{3}$
I HOPE ITS HELP YOU DEAR,
THANKS