Solve the equation 2x^2+8x-1=0 by completing the square. Give your answer to 2 decimal places 4 marks

x ≈ - 8.12, x ≈ 0.12

Step-by-step explanation:

Given

x² + 8x - 1 = 0 ( add 1 to both sides )

x² + 8x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 1 + 16

(x + 4)² = 17 ( take the square root of both sides )

x + 4 = ± ( subtract 4 from both sides )

x = - 4 ±

Thus

x = - 4 - ≈ - 8.12 ( to 2 dec. places )

x = - 4 + ≈ 0.12 ( to 2 dec. places )

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%