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.

$

4x^2+25=0\Longrightarrow(2x+5)(2x-5)=0 \\

x_1\Longleftrightarrow\boxed{2x+5=0\Longrightarrow x=-\dfrac{5}{2}} \\

x_2\Longleftrightarrow\boxed{2x-5=0\Longrightarrow x=\dfrac{5}{2}}

$

Number three.

$

x^2+121=0\Longrightarrow(x+11)(x-11)=0 \\

x_1\Longleftrightarrow\boxed{x+11=0\Longrightarrow x=-11} \\

x_2\Longleftrightarrow\boxed{x-11=0\Longrightarrow x=11}

$

Hope this helps.

Answer 2

Check the picture for the correct answer: