Question

Solutia reala a ecuatiei 4x la patrat =6intregi si 1/4 este egal cu
Dau coronita
repede va rog

Answer 1

6 1/4 =(6×4+1)/4=25/4

4x²=25/4
x²=25/16
x²=(5/4)²
x₁=5/4
x₂=-5/4

Answer 2

$\displaystyle 4x^2=6 \frac{1}{4} \\ 4x^2= \frac{6 \cdot 4+1}{4} \\ 4x^2= \frac{24+1}{4} \\ 4x^2= \frac{25}{4} \\ 4x^2 \cdot 4=25 \\ 16x^2=25 \Rightarrow x^2= \frac{25}{16} \Rightarrow x= \sqrt{ \frac{25}{16} } \Rightarrow x= \frac{ \sqrt{25} }{ \sqrt{16} } \Rightarrow x= \frac{5}{4} \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~x=- \sqrt{ \frac{25}{16} } \Rightarrow x=- \frac{ \sqrt{25} }{ \sqrt{16} } \Rightarrow x=- \frac{5}{4}$