## mmiranda50 2 years ago What are the approximate solutions of 2x2 − 7x = 3 rounded to the nearest hundredth? No real solutions x ≈ −0.77 and x ≈ 7.77 x ≈ −0.39 and x ≈ 3.89 x ≈ −3.89 and x ≈ 0.39

1. ucreategames

Im confused by this problem. 2x2 would make people think you're multiplying 2 by 2. What does the equation really look like?

2. mmiranda50

2x^2 - 7x = 3

3. ucreategames

Oh ok

4. Jack1

factor first: (2x-1)(x-3)

5. Jack1

so either 2x-1=0 or x-3 = 0

6. Jack1

so x= 1/2 or x = 3

7. mmiranda50

that is not in the choices though

8. Jack1

yeah... somethings wrong...

9. Jack1

2x^2 - 7x = 3 2x^2 - 7x - 3 = 0 (2x-1)(x-3) ===> this line's wrong

10. mmiranda50

so how do i solve it?

11. Jack1

y = ax^2 + bx + c y = 0 at x points of:

12. Jack1

$\frac{ -b +/-\sqrt{(b ^{2}-4ac} }{ 2a }$

13. mmiranda50

i'm confused

14. Jack1

so: from your equation a = 2 b = -7 c = -3 sub those numbers into the equation I gave you and you'll get answers for x

15. Jack1

$x = \frac{ 7 - \sqrt{73} }{ 4}$

16. Jack1

$or x = \frac{ 7 + \sqrt{73} }{ 4}$

17. Jack1

so x = 3.886 and x = -0.386

18. mmiranda50

ok thanks for the help

19. Jack1

all good, sorry for the stuff up earlier

20. mmiranda50

thats fine