How do you find the zeros of $3 x^{2} - 10 x + 3 = 0$ $3x^2-10x+3=0$ ?

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How do you find the zeros of $3 x^{2} - 10 x + 3 = 0$ $3x^2-10x+3=0$ ?

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Answer 1 · 2017-06-08T10:33:33

$x = \frac{1}{3}, x = 3$ $x=1/3,x=3$

Explanation:

$factorise the quadratic by 'splitting' the x-term$ $"factorise the quadratic by 'splitting' the x-term"$

$\Rightarrow 3 x^{2} - 10 x + 3 = 0$ $rArr3x^2-10x+3=0$

$\Rightarrow 3 x^{2} - 9 x - x + 3 = 0$ $rArr3x^2-9x-x+3=0$

$\Rightarrow 3 x (x - 3) - 1 (x - 3) = 0$ $rArr3x(x-3)-1(x-3)=0$

$\Rightarrow (x - 3) (3 x - 1) = 0$ $rArr(x-3)(3x-1)=0$

$\Rightarrow x = 3, x = \frac{1}{3} are the zeros$ $rArrx=3,x=1/3" are the zeros"$

Answer 2 · 2017-06-08T10:40:11

Zeros are $x = 3 and x = \frac{1}{3}$ $x=3 and x=1/3$

Explanation:

$3 x^{2} - 10 x + 3 = 0 or 3 x^{2} - 9 x - x + 3 = 0 or 3 x (x - 3) - 1 (x - 3) = 0$ $3x^2-10x+3=0 or 3x^2-9x-x+3=0 or 3x(x-3)-1(x-3)=0$ or

$(x-3)(3x-1)= 0 :.$ either

$x-3=0 :. x=3 or 3x-1=0 :. 3x=1 :. x=1/3$

Zeros are $x=3 and x=1/3$ [Ans]

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How do you find the zeros of $3 x^{2} - 10 x + 3 = 0$ $3x^2-10x+3=0$ ?

2 Answers

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Explanation:

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How do you find the zeros of 3x^2-10x+3=03x2−10x+3=03x^2-10x+3=0?

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How do you find the zeros of $3 x^{2} - 10 x + 3 = 0$ $3x^2-10x+3=0$ ?