## anonymous one year ago Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation: 2x2 + 7x + 3 = 0

1. pooja195

$$b^2-4ac$$ is called 'Discriminant' which decides that whether the the quadratic equation can be solved by factoring.

2. anonymous

I know that

3. pooja195

So you need help factoring?

4. anonymous

Basically

5. pooja195

Well what numbers multiply to make 6 but add to make 7?

6. anonymous

6 and 1

7. anwaarullah

2x^+6x+x+3=0

8. pooja195

ok now you have (2x+6 )(2x+1) Can you divide both of these by a GCF?

9. pooja195

What number can we divide 2 and 6 by?

10. anonymous

2

11. anwaarullah

take common

12. pooja195

You cant simpyfy anything more so you have 2x+3=0 2x+1=0 solve both for x

13. anwaarullah

|dw:1442766320422:dw| solve more

14. anonymous

x=-3/2 and x=-1/2

15. pooja195

-1/2 is right the other one is incorrect

16. anwaarullah

x+3=0 ?????

17. pooja195

@anwaarullah its my mistake i wrote it wrong.

18. pooja195

$$\color{#0cbb34}{\text{Originally Posted by}}$$ @pooja195 You cant simpyfy anything more so you have 2x+3=0 2x+1=0 solve both for x $$\color{#0cbb34}{\text{End of Quote}}$$ it shouldve been x+3=0

19. anonymous

x=-3

20. anonymous

for the questions, numerical answers are expected sorry forgot to say that

21. pooja195

Good $x+3=0:\quad x=-3$ $2x+1=0:\quad x=-\frac{1}{2}$

22. pooja195

This is numerical

23. anonymous

supposedly for this, one answer is needed

24. pooja195

oh ok i see what they wanted

25. pooja195

we need to set this equal to y since we are solviing using the discernment $\huge~\rm~y=2x^2+7x+3$

26. pooja195

$\huge~\rm~~discriminant=b^2−4(a)(c)$

27. pooja195

$\huge~\rm~7^2−4(2)(3) =?$

28. anonymous

25

29. pooja195

Yep there we go :)

30. anonymous

that is what i had from the beginning just wasn't sure

31. pooja195

ah ok sorry for making things more complicated than they needed to be!

32. anonymous

its fine

33. pooja195

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34. anonymous

:) thanks

35. pooja195

:)