IN DESCRIPTION

Question

1) 30x^2=12x+42

 

 

2) 10p^2−4p−6=0

 

 

3) 2x^2−4x−54=−6

 

4) x^2−7x−4=40

 

5)3m^2=−30+21m

Answer 1

1) 30x^2=12x+42

or 30x^2 - 12x -42 =0

or 5x^2 -2x - 7 =0

or 5x^2 - 7x + 5x -7 = 0

or x(5x-7) + 1(5x-7)=0

or (x+1)(5x-7)=0

So, x= -1 or x= 7/5

2) 10p^2−4p−6=0

or 5p^2 -2x -3=0

or 5p^2 - 5p + 3p -3 = 0

or 5p(p -1) + 3(p-1)=0

or (p-1)(5p+3)=0

So, p =1 or p= -3/5

3) 2x^2−4x−54=−6

or 2x^2−4x−48 =0

or x^2 -2x -24=0

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

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

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

so, x= -4 or x=6

4) x^2−7x−4=40

or x^2−7x−44=0

or x^2 -11x + 4x -44=0

or x(x-11) +4(x-11) =0

or (x+4)(x-11)=0

so, x = -4 or x =11

5) 3m^2=−30+21m

or 3m^2 +30 -21m =0

or m^2 -7m + 10 =0

or m^2 -5m -2m +10=0

or m(m-5)-2(m-5)=0

or (m-2)(m-5)=0

so, m =2 or m=5