Question

! + 3 − 5 = 0; by completing the square

Answer 1

x = 1.19258 and x = −4.19258

Explanation:

The given equation is :

`x^2+3x-5=0`

Keep x terms on the left and move the constant to the right side by adding it on both sides.

`x^2+3x=5`

Take half of the x term and square it.

`(3* (1)/(2))^2=(9)/(4)`

then add the result to both sides

`x^2+3x+(9)/(4)=5+(9)/(4)\\\\(x+(3)/(2))^2=(29)/(4)\\\\(x+(3)/(2))=\sqrt{(29)/(4)}\\\\x=(-3)/(2)+\sqrt{(29)/(4)}\\\\x=(-3)/(2)-\sqrt{(29)/(4)}`

So,

x = 1.19258 and x = −4.19258

Hence, this is the required solution.