Question

me ajude
Alvalie o descriminante
$\frac{3x + 10x}{5} = {x}^{2}$
​

Answer 1

$\LARGE\tt{} \dfrac{3x + 10x}{5} = {x}^{2} \\ \\ \LARGE\tt{} \dfrac{3x + 10x}{5} - {x}^{2} = 0 \\ \\ \LARGE\tt{} \\ \LARGE\tt{} \dfrac{13x}{5} - {x}^{2} = 0 \\ \\ \LARGE\tt{} \dfrac{13}{5} x - {x}^{2} = 0 \\ \\ \LARGE\tt{} - {x}^{2} + \dfrac{13}{5}x = 0 \\ \\ \LARGE\tt{} - 1 {x}^{2} + \dfrac{13}{5} x = 0 \\ \\ \LARGE\tt{} - 1 {x}^{2} + \dfrac{13}{5} x + 0 = 0 \\ \\ \\ \LARGE\tt{}a = - 1 \\ \\ \LARGE\tt{}b = \dfrac{13}{5} \\ \\ \LARGE\tt{}c = 0 \\ \\ \\ \LARGE\tt{}( \dfrac{13}{5} )^{2} - 4 \times ( - 1) \times 0 \\ \\ \LARGE\tt{}( \dfrac{13}{5} )^{2} - 0 \\ \\ \LARGE\tt{}( \dfrac{13}{5} )^{2} \\ \\ \LARGE\tt{} \dfrac{169}{25} \\ \\ \LARGE\tt{} \boxed{ \dfrac{169}{25} }$

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