Determine the discriminant for the quadratic equation -3=x2+4x+1. Based

Answered question

2022-03-07

Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number solutions does the equation have?

Discriminant = b2-4ac

0

1

2

12

 

Answer & Explanation

Vasquez

Vasquez

Expert2022-03-13Added 669 answers

Solve for x over the real numbers:3=x2+4x+1Reverse the equality in 3=x2+4x+1 in order to isolate x to the left hand side.3=x2+4x+1 is equivalent to x2+4x+1=3:x2+4x+1=3Solve the quadratic equation by completing the square.Subtract 1 from both sides:x2+4x=4Take one half of the coefficient of x and square it, then add it to both sides.Add 4 to both sides:x2+4x+4=0Factor the left hand side.Write the left hand side as a square:(x+2)2=0Eliminate the exponent on the left hand side.Take the square root of both sides:x+2=0Solve for x.Subtract 2 from both sides:Answer: x=2

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