Question

Find the roots of the equation
5x² - 6x-2=0 by the method of
completing the square

Answer 1

$\color{red} \boxed {{ \boxed{question}}}$

Find the roots of the equation

=> 5x² -6x - 2

by completing square method .

$\color{blue}\boxed{ \bold{formula \: used}}$

$\color{orange} \boxed{ \bold{d = > {b}^{2} - 4ac}}$

$\color{green} \boxed{ \bold x = > \frac{ - b + - \sqrt{d} }{2a}}$

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Solution -

$a = > 5 \\ \\ b = > - 6 \\ \\ c = > - 2 \\ \\ \boxed { \bold {d = > {b}^{2} - 4ac}} \\ \\ d = > {( - 6)}^{2} - 4 \times 5 \times - 2 \\ \\ d = > 36 + 40 \\ \\ \boxed{ \bold{d = > 76}} \\ \\ \boxed { \bold{x = > \frac{ - b + - \sqrt{d} }{2a} }} \\ \\ x = > \frac{ - ( - 6) + \sqrt{76} }{2 \times 5} \: \: \: \: \: \: \: \: \: x = > \frac{ - ( - 6) - \sqrt{76} }{2 \times 5} \\ \\ x = > \frac{6 + 8.7}{10} \: \: \: \: \: x = > \frac{6 - 8.7}{10} \\ \\ x = > \frac{14.7}{10} \: \: \: x = > \frac{ - 2.7}{10} \\ \\ \boxed{ \bold{x = > 1.47}}$

Roots should not be negative (-ve) .Hence

x => 1.47 ...

Hope it's helps you ☺️

Answer 2

Answer:

Step-by-step explanation: