Question

What are the solution(s) to the quadratic equation 9x² = 4?O-x = aand x =920x = ² and x =33O x = ²/² and x =2Ono real solutionK

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given quadratic equation

`9x^2=4`

STEP 2: Divide both sides by 9

`\begin{gathered} (9x^2)/(9)=(4)/(9) \\ x^2=(4)/(9) \end{gathered}`

STEP 3: Find the square root of both sides

`\begin{gathered} √(x^2)=\pm\sqrt{(4)/(9)}=\pm(√(4))/(√(9)) \\ \\ x=\pm(2)/(3) \\ x=(2)/(3)\text{ }or\text{ }-(2)/(3) \end{gathered}`

Hence, the solution will be:

`x=(2)/(3)\text{ }and\text{ }x=-(2)/(3)`