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
