Question

1) x ^ 2 + 7x + 10 = 0

2) x ^ 2 - 8x + 15 = 0

3) x ^ 2 - x - 20 = 0

4) x ^ 2 - 11x + 30 = 0

5) x ^ 2 + 11x + 24 = 0

Answer 1

Explicación paso a paso:

$1. \\ {x}^{2} + 7x + 10 = 0\\ {x}^{2} + 5x + 2x + 10 = 0 \\ x(x + 5) + 2(x + 5) = 0 \\ (x + 2)(x + 5) = 0$

x+2=0 ,x+5=0

x=-2 ,x=-5

2.

${x}^{2} - 8x + 15 = 0 \\ {x}^{2} - 5x - 3x + 15 = 0 \\ x(x - 5) - 3(x - 5) = 0 \\ (x - 3)(x - 5) = 0$

x-3=0 ,x-5=0

x=3 ,x=5

3.x^2-x-20=0

x^2-5x+4x -20=0

x(x-5) + 4(x-5)=0

(x+4) (x-5)=0

x+4 =0 ,x-5=0

x=-4 , x=5

4.x^2-11x+30 =0

x^2-6x-5x+30=0

x(x-6) -5(x -6)=0

(x-5) (x-6) =0

x-5=0 ,x-6=0

x=5 , x=6

5.x^2+11x+24=0

x^2+8x+3x +24=0

x(x+8) + 3(x+8) =0

(x+3) (x+8) =0

x+3 =0 , x+8 =0

x=-3 , x=-8