Question

Solve the following quadratic equations by factorisation.
3x² - x - 10 = 0​

Answer 1

$\huge\underline\frak{\fbox{AnSwEr :-}}$

$\implies$ 3x² - x - 10 = 0

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ 3x² - 6x + 5x - 10 = 0

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ 3x (x - 2) +5 (x - 2) = 0

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ (3x + 5) (x - 2) = 0

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ (3x + 5) = 0 or (x - 2) = 0

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ x = - $\Large\sf\frac{5}{3}$ or x = 2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\implies$ $\Large\sf\frac{5}{3}$ and 2 are the roots of the given

quadratic equation.

Answer 2

Step-by-step explanation:

3(x)^2-x-10=0

3(x)^2-6x+5x-10=0

3x(x-2)+5(x-2)=0

(3x+5)(x-2)=0

3x+5=0

x=(-5/3)

x-2=0

x=2