Question

HELPPPPPPP PLEASEEEEEEE
Find the solutions of the quadratic equation:

Answer 1

Answer A is correct

Explanation:

Let us use completing square method for this.

`x^(2) -5x -10=0\\\\x^(2) -5x=10\\\\x^(2) -5x+(25)/(4)=10+ (25)/(4)\\\\ (x+(5)/(2)) ^(2) =(10*4)/(1*4) +(25)/(4)\\\\ (x+(5)/(2)) ^(2) =(40)/(4) +(25)/(4)\\\\ (x+(5)/(2)) ^(2) =(40+25)/(4) \\\\(x+(5)/(2)) ^(2) =(65)/(4) \\\\(x+(5)/(2)) = \±\sqrt{(65)/(2) }\\\\(x+(5)/(2)) =\±(√(65))/(4)\\\\x=\±(√(65))/(4)-(5)/(2)`

∴
`x=-(5)/(2) \±(√(65))/(4)`