Question

{}^{2} = x {}^{2} + 4" alt="4x {}^{2} = x {}^{2} + 4" align="absmiddle" class="latex-formula">
​

Answer 1

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

$\frac{ {3x}^{2} }{3} = \frac{4}{3}$

${x}^{2} = \frac{4}{3}$

iv) take the square root to the opposite side of the equation and remember to use

positive and negative roots

$x = + - \sqrt{ \frac{4}{ 3} }$

v) the equation has two solutions. write the solutions, one with a '+' sign and another with a '-' sign

$x = \sqrt{ \frac{4}{3} } \: or \: 1.155$

$x = - \sqrt{ \frac{4}{3} } \: or - 1.155$