Question

I need help step by step 0=x²-7x +10​

Answer 1

Answer:

x=2 or x=5

Step-by-step explanation:

0−(x^2−7x+10)

=x^2−7x+10−(x^2−7x+10)

−x^2+7x−10=0

(−x+2)(x−5)=0

−x+2=0 or x−5=0

x=2 or x=5

Answer 2

Answer:

x = 2 or x = 5

Step-by-step explanation:

Several ways to do this.. but i'll use completing the square:

x²-7x +10 = 0

x²-7x  = -10   (take the x coefficient , divide that by two and then square the result and add it back to both sides)

x² - 7x   + ( -7/2 )²  = -10 + ( -7/2 )²  (simply the left side using the property (a + b)² = a² + 2ab + b² )

[x  + (-7/2)]² = -10 +  ( -7/2 )²

[x - (7/2)]² = -10 +  ( 49/4 )

[x - (7/2)]² = 9/4

x - (7/2) = ±√(9/4)

x - (7/2) = ±(3/2)

x = (7/2) ± (3/2)

x = 2 or x = 5