Question

Solve the three equations in the table by factoring. Then enter those factors and the solutions in the table.

Equations: x^2 + 10 = 0, 4x^2 + 25 = 0, x^2 + 121 = 0
Factors: _______, ________, _______
solutions: _______,________, _______

Answer 1

Solutions are denoted by index. Most of the equations you listed has 2 solutions.

Number one cannot be factored using whole numbers.

Number two.

`</p><p>4x^2+25=0\Longrightarrow(2x+5)(2x-5)=0 \\</p><p>x_1\Longleftrightarrow\boxed{2x+5=0\Longrightarrow x=-(5)/(2)} \\ </p><p>x_2\Longleftrightarrow\boxed{2x-5=0\Longrightarrow x=(5)/(2)}</p><p>`

Number three.

`</p><p>x^2+121=0\Longrightarrow(x+11)(x-11)=0 \\</p><p>x_1\Longleftrightarrow\boxed{x+11=0\Longrightarrow x=-11} \\</p><p>x_2\Longleftrightarrow\boxed{x-11=0\Longrightarrow x=11}</p><p>`

Hope this helps.

Answer 2

Check the picture for the correct answer: