Question

Na equação 4x^2 - 7x + 10 = 0, o valor da multiplicação de suas raizes é: ?

Answer 1

$\large\boxed{\begin{array}{l}\sf Dada\,a\,equac_{\!\!,}\tilde ao\,ax^2+bx+c=0\\\sf o\,produto\,x_1\cdot x_2\,de\,suas\,ra\acute izes\\\sf\acute e\,dado\,por\,p=\dfrac{c}{a}\,onde\,p=x_1\cdot x_2\end{array}}$

$\large\boxed{\begin{array}{l}\rm 4x^2-7x+10=0\\\begin{cases}\rm a=4\\\rm b=-7\\\rm c=10\end{cases}\\\rm p=\dfrac{c}{a}\\\\\rm p=\dfrac{10\div2}{4\div2}\\\\\rm p=\dfrac{5}{2}\blue{\checkmark}\end{array}}$