Question

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Answer 1

Answer:

1) x^2-22x+117=0

x^2-13x-9x+117=0

x(x-13)-9(x-13)=0

(x-9)(x-13)=0

x=9. or. x=13

2) x^2-10x+24=0

x^2-6x-4x+24=0

x(x-6)-4(x-6)=0

(x-4)(x-6)=0

x=4. or. x=6

3)x^2-4x-77=0

x^2-11x+7x-77=0

x(x-11)+7(x-11)=0

(x+7)(x-11)=0

x= -7. or. x=11

4)x^2-6x-135=0

x^2-15x+9x-135=0

x(x-15)+9(x-15)=0

(x+9)(x-15)=0

x= -9. or. x=15

5)x^2-12x-45=0

x^2-15x+3x-45=0

x(x-15)+3(x-15)=0

(x-15)(x+3)=0

x=15. or. x= -3

6)x^2-14x+24=0

x^2-12x-2x+24=0

x(x-12)-2(x-12)=0

(x-2)(x-12)=0

x=2. or. x=12

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

x^2+5x-3x-15=0

x(x+5)-3(x+5)=0

(x-3)(x+5)=0

x=3. or. x= -5

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

x^2-5x+3x-15=0

x(x-5)+3(x-5)=0

(x+3)(x-5)=0

x= -3. or. x=5

9)x^2+10x+24=0

x^2+6x+4x+24=0

x(x+6)+4(x+6)=0

(x+4)(x+6)=0

x= -4. or x= -6