laplatte1 laplatte1
  • 22-03-2024
  • Mathematics
contestada

what is the solution set of the equation x^2 + 3x - 4 = 6

what is the solution set of the equation x2 3x 4 6 class=

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villalobosguadalupe9 villalobosguadalupe9
  • 22-03-2024

Answer:

Therefore, the solution set for the equation (x^2 + 3x - 4 = 6) consists of the values (x = 2) and (x = -5).

Step-by-step explanation:

Rearrange the equation by subtracting 6 from both sides: [x^2 + 3x - 4 - 6 = 0] Simplify: [x^2 + 3x - 10 = 0]

Now, let’s use the quadratic formula to find the solutions. The quadratic formula is given by: [x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}] For our equation:

(a = 1)

(b = 3)

(c = -10)

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