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Mathematics

Solve the following equations by factorisation:

3x2 + 11x + 10 = 0

Quadratic Equations

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Answer

Given,

⇒3x2+11x+10=0⇒3x2+6x+5x+10=0⇒3x(x+2)+5(x+2)=0⇒(x+2)(3x+5)=0⇒x+2=0 or 3x+5=0⇒x=−2 or x=−53\Rightarrow 3x^2 + 11x + 10 = 0 \\[1em] \Rightarrow 3x^2 + 6x + 5x + 10 = 0 \\[1em] \Rightarrow 3x(x + 2) + 5(x + 2) = 0 \\[1em] \Rightarrow (x + 2)(3x + 5) = 0 \\[1em] \Rightarrow x + 2 = 0 \text{ or } 3x + 5 = 0 \\[1em] \Rightarrow x = -2 \text{ or } x = -\dfrac{5}{3}

Hence, roots of given equation are -2, -53\dfrac{5}{3}.

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