Question

solve the following quadtric equations
by Factorisation.
$3x {}^{2} - x - 10 = 0$
​

Answer 1

Answer:

$\huge\boxed{x=-\dfrac{5}{3}\ \vee\ x=2}$

Step-by-step explanation:

$3x^2-x-10=0\\\\3x^2+5x-6x-10=0\\\\x(3x+5)-2(3x+5)=0\\\\(3x+5)(x-2)=0\iff3x+5=0\ \vee\ x-2=0\\\\3x+5=0\qquad|\text{subtract 5 from both sides}\\\\3x=-5\qquad|\text{divide both sides by 3}\\\\\boxed{x=-\dfrac{5}{3}}\\\\x-2=0\qquad|\text{add 2 to both sides}\\\\\boxed{x=2}$