Question

Gentee scrr me ajudem

Answer 1

Boa noite!


a)

${15}^{2} = {12}^{2} + {x}^{2} \\ - {x}^{2} = 144 - 225 \\ { - x}^{2} = - 81 \\ {x}^{2} = 81 \\ x = \sqrt{81} = 9$


b)

${10}^{2} = {x}^{2} + {x}^{2} \\ 100 = {2x}^{2} \\ {x}^{2} = \frac{100}{2} \\ {x}^{2} = 50 \\ x = 5 \sqrt{2}$



c)

${14}^{2} = {x}^{2} + (5 \sqrt{3} ) ^{2} \\ 196 = {x}^{2} + 25 \times 3 \\ 196 = {x}^{2} + 75 \\ - {x}^{2} = 75- 196 \\ {x}^{2} = 121 \\ x = \sqrt{121} = 11$


d)

$(x + 1)^{2} = ( \sqrt{7} )^{2} + {x}^{2} \\ (x + 1) \times (x + 1) = ( \sqrt{7} )^{2} + {x}^{2} \\ {x}^{2} + x + x + 1 = ( \sqrt{7} )^{2} + {x}^{2} \\ {x}^{2} + 2x + 1 = 7 + {x}^{2} \\ {x}^{2} - {x}^{2} + 2x + 1 - 7 = 0 \\ 2x + 1 - 7 = 0 \\ 2x - 6 = 0 \\ 2x = 0 + 6 \\ x = \frac{6}{2} = 3$




Espero ter ajudado!