Question

calcule as raízes da função f (x)= x2 - 15x + 50

Answer 1

• $\boxed{\red{\boxed{\sf{f(x)=x²–15x+50}}}}$

➡️ coeficientes

• $\small{a=+1}$

• $\small{b=-15}$

• $\small{c=+50}$

➡️ Discriminante

• $\small{\Delta=b^{2}-4.a.c}$

• $\small{\Delta=(-15)^{2}-4.(1).(50)}$

• $\sf{\Delta=225-200}$

• $\sf{\Delta=25}$

➡️ Raízes da função

• $\small{x'=[-(-15)+\sqrt{25}]/2.(1)}$

• $\small{x'=[15+5]/2}$

• $\small{x'=20/2}$

• $\underbrace{\small{x'=10}}$

✅

• $\small{x"=[-(-15)-\sqrt{25}]/2.(1)}$

• $\small{x"=[15-5]/2}$

• $\sf{x"=10/2}$

• $\underbrace{\sf{x"=5}}$

➡️ As raízes da função são: 5 e 10