Answer:
x = 1.155
x = -1.155
Step-by-step explanation:
4x² = x² + 4
i) move variable to the left-hand side and change its sign
4x² - x² = 4
ii) collect like terms
3x² = 4
iii) divide both sides of the equation by 3
[tex] \frac{ {3x}^{2} }{3} = \frac{4}{3} [/tex]
[tex] {x}^{2} = \frac{4}{3} [/tex]
iv) take the square root to the opposite side of the equation and remember to use
positive and negative roots
[tex]x = + - \sqrt{ \frac{4}{ 3} } [/tex]
v) the equation has two solutions. write the solutions, one with a '+' sign and another with a '-' sign
[tex]x = \sqrt{ \frac{4}{3} } \: or \: 1.155[/tex]
[tex]x = - \sqrt{ \frac{4}{3} } \: or - 1.155[/tex]
