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Using the quadratic formula, what are the solutions to v2 – v – 1 = 0?

Round your answer to the nearest hundredth.


–1.62 and 0.62


0.62 and 1.62


–1.62 and –0.62


–0.62 and 1.62

Respuesta :

Ogude

Answer:

0.62 and 1.62 is th answer I think

asuwafohjames

The solution to the quadratic equation is -0.62 and 1.62.

Quadratic formula

  • x = [-b±√(b²-4ac)]/2a............. Equation 1

From the question,

Given equation:

  • v²- v - 1 = 0

Where:

  • x = v
  • a = 1
  • b = -1
  • c = -1

Substitute these values into equation 1

  • v = [-(-1)±√[(-1)²-(4×1×-1)]/(2×1)
  • v = [1±√(1+4)]/2
  • v = [1±√5]/2

Either,

  • v = (1+√5)/2
  • v = (1+2.236)/2
  • v = 3.236/2
  • v = 1.618 ≈ 1.62

or,

  • v = (1-√5)/2
  • v = (1-2.236)/2
  • v = (-1.236)/2
  • v = -0.618 ≈ -0.62

Hence, The solution to the quadratic equation is -0.62 and 1.62.

Learn more about quadratic equations here: https://brainly.com/question/1214333

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