3x^2 x 4=0 ⇒ 3x^2+3x 4x 4=0 ⇒ 3x(x+1) 4(x+1)=0 ⇒ (3x 4)(x+1)=0 ⇒ 3x 4=0 #160; #160;and #160; #160; x+1=0 ⇒ ...

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Addition and Subtraction of Algebraic Expression

Solve: 3x2 ...

Question

Solve: $3 x^{2} - x - 4 = 0$

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Solution

$3 x^{2} - x - 4 = 0$

$\Rightarrow 3 x^{2} + 3 x - 4 x - 4 = 0$

$\Rightarrow 3 x (x + 1) - 4 (x + 1) = 0$

$\Rightarrow (3 x - 4) (x + 1) = 0$

$\Rightarrow$ $3 x - 4 = 0$ and $x + 1 = 0$

$\Rightarrow$ $3 x = 4$ and $x = - 1$

$\Rightarrow$ $x = \frac{4}{3}, - 1$

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