Question

factorise this equation
$7 {x }^{2} + 3x - 34 = 0$
​

Answer 1

GIVEN:

★$7 {x }^{2} + 3x - 34 = 0$

TO FIND:

★To factorise the given quadratic equation.

CONCEPT USED:

★We can factorise it using the middle term splitting.

OR

★We could factorise it using the standard formula, for factorisation of a quadratic equation in the $ax^{2}+bx+c$ form.

I. e.

$\large\green{\boxed{\dfrac{-b±\sqrt{b^{2}-4ac}}{2a}}}$

ANSWER:

We would be using here the middle splitting method, ,

=>$7 {x }^{2} + 3x - 34 = 0$

=>$7x^{2}-14x+17x -34=0$

=>$7x(x-2) -17(x-2) =0$

=>$(7x-17) (x-2) =0$

$\large\purple{\boxed{(7x-17) (x-2) =0}}$

$\huge\orange{\boxed{Answer:(7x-17) (x-2)}}$