Question

x²/4 - x + 3/4 = 0



por favor me ajudem

Answer 1

Resposta:

 x1= 3

x2= 1

Explicação passo-a-passo:

x²/4 - x + 3/4 = 0 ----x4------>  x² - 4x + 3 = 0

Delta = b² - 4ac ------> Delta = 16 - 12= 4

x =  -b +_ Raiz de delta / 2a        x = 4 +_ 2/ 2      x1= 3

                                                                               x2= 1

Answer 2

Olá,

• Como é uma equação do 2º grau, vamos recorrer a fórmula de Bhaskara.

$\dfrac{x^2}{4}-x+\dfrac{3}{4}=0\\\\\\Coeficientes:\;a=\dfrac{1}{4},\;b=-1\;e\;c=\dfrac{3}{4}\\\\\\\Delta=b^2-4ac\\\\\Delta=(-1)^2-4\cdot\dfrac{1}{4}\cdot\dfrac{3}{4}\\\\\Delta=1-\dfrac{12}{16}\\\\\Delta=\dfrac{16}{16}-\dfrac{12}{16}\\\\\Delta=\dfrac{4}{16}\\\\\\\\x=\dfrac{-b\pm\sqrt{\Delta}}{2a}\\\\\\x=\dfrac{-(-1)\pm\sqrt{\dfrac{4}{16}}}{2\cdot\dfrac{1}{4}}\\\\\\x=\dfrac{1\pm\dfrac{2}{4}}{\dfrac{2}{4}}\\\\\\x_1=\dfrac{1+\dfrac{1}{2}}{\dfrac{1}{2}}=\dfrac{1+0,5}{0,5}=\dfrac{1,5}{0,5}=3$

$x_2=\dfrac{1-\dfrac{1}{2}}{\dfrac{1}{2}}=\dfrac{1-0,5}{0,5}=\dfrac{0,5}{0,5}=1$

Resposta: $\bf{S=\{3, 1\}}$

• Saiba mais em:

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Espero ter ajudado.

Bons estudos! :)