Question

6x²-3-7x split the middle term​

Answer 1

EXPLANATION.

Equation : 6x² - 3 - 7x.

As we know that,

We can write equation as,

⇒ 6x² - 7x - 3 = 0.

⇒ 6x² - 9x + 2x - 3 = 0.

⇒ 3x(2x - 3) + 1 (2x - 3) = 0.

⇒ (3x + 1)(2x - 3) = 0.

⇒ x = - 1/3  and  x = 3/2.

                                                                                                                   

MORE INFORMATION.

Conjugate roots.

(1) If D < 0.

One roots = α + iβ.

Other roots = α - iβ.

(2) If D > 0.

One roots = α + √β.

Other roots = α - √β.

Answer 2

$\huge\mathfrak\red{ Answer : }$

$(2x - 3)(3x + 1)$

$\huge\mathfrak\pink {solution : }$

$we \: write \: in \: this \: form \: also :$

$6 {x}^{2} - 7x - 3$

$Then \: I \: apply \: middle \: split \: term :$

$= 6 {x}^{2} - 9x + 2x - 3$

$= 3x(2x - 3) + 1(2x - 3)$

$= (2x - 3)(3x + 1)$

$\huge\mathfrak\green{Thank \: \: You : }$