Question

x2 – 3x - 11=3
O (4,-1, 2, 1)
O (4, -1)
O (2,1)​

Answer 1

Explicação passo-a-passo:

$\bf{ | {x}^{2} - 3x - 1| = 3}$

$\bf{ {x}^{2} - 3x - 1 = 3} \\ \bf{ {x}^{2} - 3x - 1 = - 3 }$

$\bf{ {x}^{2} - 3x - 1 = 3 } \\ \bf{ {x}^{2} - 3x - 1 - 3 = 0 } \\ \bf{ {x}^{2} + x - 4x - 1 - 3 = 0 } \\ \bf{ {x}^{2} + 4 - 4x - 4 = 0 } \\ \bf{x \times (x + 1) - 4(x + 1) = 0} \\ \bf{(x + 1) \times (x - 4) = 0} \\ \bf{x + 1 = 0} \\ \bf{x - 4 = 0} \\ \bf{x = - 1} \\ \bf{x = + 4}$

$\bf{ {x}^{2} - 3x - 1 = - 3} \\ \bf{ {x}^{2} - 3x - 1 + 3 = 0} \\ \bf{ {x}^{2} - x - 2x - 1 + 3 = 0 } \\ \bf{ {x}^{2} - x - 2x + 2 = 0 } \\ \bf{x \times (x - 1) - 2(x - 1) = 0} \\ \bf{(x - 1) \times (x - 2) = 0} \\ \bf{x - 1 = 0} \\ \bf{x - 2 = 0} \\ \bf{x = + 1} \\ \bf{x = + 2}$

$\pink{\boxed{ \bf{x = - 1}}} \\ \pink{\boxed{ \bf{x = + 4}}} \\ \pink{\boxed{ \bf{x = + 1}}} \\ \pink{\boxed{ \bf{x = + 2}}}$