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Use the quadratic formula to determine the exact solutions to the equation. x2−4x−8=0 Enter your answers in the boxes. x = or x =

User Jonkroll
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Answer:

Explanation:

Use the quadratic formula to determine the exact solutions to the equation. x2−4x-example-1
User Arad
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The quadratic formula states that the solutions to the equation
ax^2+bx+c=0 are (if they exist)



x_(1,2) = (-b\pm√(b^2-4ac))/(2a)


In your case, the quadratic equation is identified by the choice
a = 1, b=-4, c=-8, and this leads to the solutions



x_(1,2) = (4\pm√(16+32))/(2) = (4\pm√(48))/(2)


Since
48 = 16\cdot 3, we have



√(48) = √(16\cdot 3) = √(16)\codt √(3) = 4√(3)


So, the expression for the solutions becomes



(4\pm4√(3))/(2) = 2\pm2√(3)


So, the two solutions are
2 + 2√(3) and
2 - 2√(3)

User Fpbhb
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