Question

Please someone help me!

Answer 1

x = -3

x = 1/2

Explanation:

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

quadratic equation format:
`ax^2+bx+c=0`

Find the factors of the product of
`a` and
`c` that sum to
`b`

product of a and c: 2 x -3 = -6

Factors of -6 that sum to 5: 6 and -1

Therefore, rewrite the equation as 2x² + 6x - x - 3 = 0

Break the equation into groups:

⇒ (2x² + 6x) - (x + 3) = 0

Factor the brackets:

⇒ 2x(x + 3) - 1(x + 3) = 0

Factor out common factor (x + 3):

⇒ (2x - 1)(x + 3) = 0

Therefore, 2x - 1 = 0 ⇒ x = 1/2

And, x + 3 = 0 ⇒ x = -3