Question

Solution to quadratic equation 2x^2-5x=-3 using completing the square method

Answer 1

Answer:
`x_(1) = 1, x_(2) = 1.5`

1. Make equation equal 0:


`image`

2. Assign value to a, b, c (You’ll use it later in quadratic formula):
A = 2, B = -5, C = 3

3. Use formula:


`\Delta = b^(2) - 4ac`


`image`

And you can now use, that:

`√(\Delta) = 1`

3. If you know answer is 1, the equation has 2 solves. Use next formulas:


`(-b - √(\Delta))/(2a)`, and:


`(-b + √(\Delta))/(2a)`.

4. Solve (if you know square root of delta is 1):


`image`

So first solve is 1:


`image`

Proof it’s right:

`image`, so this is right.

Second:
`image`, so that’s also right.

Hope this helps!