## calculusxy one year ago Solving equation with quadratic formula. Question will be given below

1. calculusxy

$\large 2x^2 - 5x = 52$

2. calculusxy

I know that the quadratic formula is: $\large x = \frac{ -b \pm \sqrt{b^2 - 2ac} }{ 2a }$

3. amistre64

a quadratic equation of the form: ax^2 + bx + c = 0 has roots defined by the quadratic formula as: $x=\frac{1}{2a}(-b\pm\sqrt{b^2-4ac})$ which is just a shortcut of completing the square

4. calculusxy

$\large x = \frac{ -(-5) \pm \sqrt{(-5)^2 - 2(2)(-52)} }{ 2(2) }$ if i solve it like this will it be fine?

5. calculusxy

@Nnesha @amistre64

6. amistre64

might be a typo, but its 4ac, not 2ac

7. amistre64

otherwise your values for abc are good

8. calculusxy

ok

9. calculusxy

$x = \frac{ 5 \pm \sqrt {25 + 208} }{ 4 }$

10. calculusxy

if solve it with this will it be correct? @amistre64