Question

If the quadratic formula is used to solve 2x2 = 8x -3, what are the solutions

Answer 1

2x2 = 8x-3

4 = 8x - 3 | +3

7=8x

x=7/8

Explanation:

Answer 2

x = 2 ±
`(1)/(2)`
`√(10)`

Explanation:

Given a quadratic equation in standard form : ax² + bx + c = 0

Then we can solve for x using the quadratic formula

Given

2x² = 8x - 3 ( subtract 8x - 3 from both sides )

2x² - 8x + 3 = 0 ← in standard form

with a = 2, b = - 8 and c = 3, hence

x = (- (- 8) ±
`√((-8)^2-(4(2)(3))`) / 4

= (8 ±
`√(64-24)`) / 4

= (8 ±
`√(40)`) / 4

= (8 ± 2
`√(10)` ) / 4

=
`(8)/(4)` ±
`(2√(10) )/(4)`

= 2 ±
`(1)/(2)`
`√(10)`