Question

Find the roots of the equation 3x² - 5x+2=0 by splitting the middle
terms and "by using quadratic formula",
The sum of digite of a two-digit number is g. Also nine times this number​

Answer 1

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• Find the roots of the quadratic equation by splitting the middle term.

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$3 {x}^{2} - 5x + 2 = 0$

$\implies3 {x}^{2} - 3x - 2x + 2 = 0$

$\implies3x(x - 1) - 2(x - 1)= 0$

$\implies(3x - 2)(x - 1)= 0$

Therefore, either $3x - 2 = 0$ Or $x - 1 = 0$

So,

$3x - 2 = 0$

$\implies x = \frac{2}{3}$

And,

$x - 1 = 0$

$\implies x = 1$

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• The roots of the quadratic equation are $\frac{2}{3}$ and $1$.