Question

solve 9 x square - 30 X + 25 is equal to zero​

Answer 1

$Given \: quadratic\: equation : \\9x^{2} - 30x + 25 = 0$

$\implies (3x)^{2} - 2\times (3x) \times 5 + 5^{2} = 0$

$\implies ( 3x - 5 )^{2} = 0$

$\boxed { \pink { Since, a^{2} - 2ab + b^{2} = (a-b)^{2} }}$

$\implies (3x-5)(3x-5) = 0$

$\implies 3x-5 = 0 \: Or \: 3x-5 = 0$

$\implies 3x = 5 \: Or \: 3x = 5$

$\implies x =\frac{5}{3} \: Or \: x =\frac{5}{3}$

Therefore.,

$\green { x =\frac{5}{3} \: Or \: x =\frac{5}{3}}$

$Equal \: roots$

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