Question

Me ajudem!

$x^{2} + x^{2} + x^{2} + x^{2} + x^{2} + x^{2} + x^{2} + x^{2} + x^{2} + x^{2} + x^{2} = \frac{7000000000000000}{4}$

Answer 1

$x^2+x^2+x^2+x^2+x^2+x^2+x^2+x^2+x^2+x^2+x^2=\frac{7000000000000000}{4}\\\\11x^2=1750000000000000\\\\x^2=\dfrac{1750000000000000}{11}\\\\x=\sqrt{\dfrac{1750000000000000}{11}}\\\\x=\sqrt{\dfrac{175\cdot10^13}{11}}\\\\x=10^6\sqrt{\dfrac{175\cdot10}{11}}\\\\x=10^6\sqrt{\dfrac{1750}{11}}\\\\x=10^6\sqrt{\dfrac{2\cdot5\cdot5\cdot5\cdot7}{11}}\\\\x=10^6\sqrt{\dfrac{2\cdot5\cdot5^2\cdot7}{11}}\\\\x=10^6\cdot5\sqrt{\dfrac{2\cdot5\cdot7}{11}}\\\\x=10^6\cdot5\sqrt{\dfrac{70}{11}}$

Answer 2

10x² = 7.10^9
            4

   x²   = 7x10^9  ==>  x² = 175x10^6
             40
                       
x =  V175.10^6

x ≈ 13,22876x10³

x ≈ 13228,76