Question

Construa o espaço geográfico para:
Y= $x^{2} +10x-25$
queria a formula de baskara dessa função

Answer 1

Por Bhaskara, temos

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}= \dfrac{-10\pm\sqrt{100-4\cdot1\cdot(-25)}}{2}\\=\dfrac{-10\pm\sqrt{100+100}}{2}=\dfrac{-10\pm\sqrt{200}}{2}=\dfrac{-10\pm10\sqrt{2}}{2}\\x_1=\dfrac{-10+10\sqrt{2}}{2}=-5+5\sqrt{2}\\x_2=\dfrac{-10-10\sqrt{2}}{2}=-5-5\sqrt{2}$