x = - 0.12 or - 15.87
Step-by-step explanation:
- Step 1: Divide the equation with the coefficient of [tex]x^{2}[/tex]. In this case, coefficient of
- Step 2: Move the number term to the right hand side of the equation. Now, the equation becomes [tex]x^{2} + 16x = -2[/tex]
- Step 3: Complete the square in the left hand side of the equation and then add the same number to the right hand side to balance the equation. Now, equation becomes [tex]x^{2} +16x+64 = -2+64[/tex] So, [tex]x^{2} +16x+64 = 62[/tex] [tex]ie, (x+8)^{2} = 62[/tex]
- Step 4: Take the square root of both sides. Therefore, [tex]x+8 = \sqrt{62}[/tex] So, [tex]x =[/tex] ± [tex]7.87 - 8[/tex]
Therefore, [tex]x = -0.12, -15.87[/tex]
