Question

Which constant should be added and subtracted to solve the quadratic equations 5x^2-√2x+3=0 by the method of completing the square

Answer 1

Answer:

Constant = (√2/10)2

Answer 2

Answer:

$\frac{\sqrt{2}}{10}$

Step-by-step explanation:

Given :$5x^2-\sqrt{2}x+3=0$

To Find : Which constant should be added and subtracted to solve the quadratic equations

Solution :

General form of equation : $ax^2+bx+c=0$

For completing the square

Add and subtract half of coefficient of b

$5x^2-\sqrt{2}x+3=0$

Divide the whole equation by 5

$x^2-\frac{\sqrt{2}}{5}x+\frac{3}{5}=0$

So, Add and subtract $\frac{\sqrt{2}}{2 \times 5}=\frac{\sqrt{2}}{10}$

So, $\frac{\sqrt{2}}{10}$ constant should be added and subtracted to solve the quadratic equations