Question

7x²-9x+2=0 what is the answer for this?

Answer 1

       $\underline{\bold{Answer:}}$

       $\boxed{x = 1,\frac{2}{7}}$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\text{The given equation is }7x^{2} -9x + 2 = 0$

       $\text{We can solve the following equation by splitting the middle term}(-9x)$

$\implies \text{We can split }(-9x) \text{ into }(-7x-2x)$

$\implies 7x^{2} -7x-2x+2 = 0$

$\implies 7x(x-1)-2(x-1) = 0$

$\implies (x-1)(7x-2) = 0$

$\implies \text{either }(x-1)=0 \text{ or }(7x-2) = 0$

$\implies x-1 = 0$       $;$       $7x-2 = 0$

$\implies \boxed{x = 1}$           $;$      $\boxed{x = \frac{2}{7}}$