Question

Can somebody please help me with this

Answer 1

Step-by-step explanation:

• 1

x²-8x+15= 0

x²-2*1*4*x+ 16-1=0

x²-2*1*4*x+4² = 1

(x-4)² = 1

x-4 =1   or x-4= -1

x= 5      or x=3

so the solutions are 5 and 3

• 2

r²+18r+56=0

r²+2*1*9*r+ 81-25=0

r²+2*1*9*r+9² = 25

(r+9)² = 25

r+9 = 5  or r+9 = -5

r= -4  or   r = -14

so the solutions are -4 and -14

• 3

x²+2x-24=0

x²+2*1x +1-25=0

x²+2*1*x+1² = 25

(x+1)² = 25

x+1= 5  or x+1= -5

x = 4 or   x= -6

so the solutions are 4 and -6

• 4

p²+12p-54 = 0

p²+2*6*p+36-90=0

p²+2*6*p+6² = 90

(p+6)² = 90

p+6 = √90 or p+6 = -√90

p = √90-6  or p=  -√90-6

• 5

m²-6m-55= 0

m²-2*3*m+3²-64=0

(m-3)² = 64

m-3 = 8 or m-3 = -8

m= 11 or m= -5