Question

solve the following quadratic equations by factorisation method 3x square -x-10=0​

Answer 1

Given equation

$3x^{2} -x-10=0$

Solving, we get,

$3x^{2} -x-10=0$

$\implies 3x^{2} -6x+5x-10=0$

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

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

Now,

$3x+5=0$

$\implies 3x=-5$

$\implies \boxed{\boxed{\bold{ x = \dfrac{-5}{3}}}}}}}}}$

$x-2=0$

$\implies \boxed{\boxed{\bold{ x =2}}}}}}}}$

                                                                   

Answer 2

Answer:

x = 2.23

Steps of Explanation :

3x ^2  - x - 10 =0

3x^2-x = 0 +10

2x^2 = 10

x^2 = 10 / 2

x^2 = 5

x = root 5

x = 2 .23

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