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Solve the equation using the Quadratic Formula. 2x² + 5x = 3

1 Answer

2 votes

Answer:

x = (1/2)

x = -3

Explanation:

Quadratic:

2x² + 5x = 3

-3 -3

----------------------

2x² + 5x - 3 = 0

-b ± √b² - 4(a)(c)

-------------------

2(a)

-5 ± √5² - 4(2)(-3)

---------------------------

2(2)

-5 ± √25 + 24

---------------------------

4

-5 ± √49

----------------

4

-5 ± 7

----------

4

-5 + 7 2 1

---------- = ------- = ------

4 4 2

-5 - 7 -12

---------- = --------- = -3

4 4

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Factored (for fun):

(2x² + 6x) (-1x - 3) = 0

2x(x + 3) -1 (x + 3)

(2x - 1)(x + 3) = 0

2x - 1 = 0, x + 3 = 0

+1 +1 -3 -3

--------------- ------------------

2x = 1 x = -3

÷2 ÷2

-------------

x = (1/2)

I hope this helps!

User Stefano Bagnara
by
6.3k points