Find the roots of the equation 2x 2 -7x+6=0. Hence Factorise it
Answers
EXPLANATION.
Roots of the equation.
⇒ 2x² - 7x + 6 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ 2x² - 4x - 3x + 6 = 0.
⇒ 2x(x - 2) - 3(x - 2) = 0.
⇒ (2x - 3)(x - 2) = 0.
⇒ x = 3/2 and x = 2.
MORE INFORMATION.
Nature of the roots of the quadratic expression.
(1) Real and unequal, if b² - 4ac > 0.
(2) = Rational and different, if b² - 4ac is a perfect square.
(3) = Real and equal, if b² - 4ac = 0.
(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.
SOLUTION:-
Given equation: 2x² - 7x + 6 = 0.
So let's factorize it using the method splitting the middle term :-
==>2x² - 4x - 3x + 6 = 0.
==> 2x(x - 2) - 3(x - 2) = 0.
==> (2x - 3)(x - 2) = 0.
==> x = 3/2 and x = 2.
Hence the roots of the equation are :-
> x = 3/2 and x = 2.
LEARN MORE AT BRINLY:-
Q-If one of the zeroes of the quadratic polynomial (p – l)x² + px + 1 is -3, then the value of p
ANSWER AT:- https://brainly.in/question/42771161