Find the value of x from the equation:
x^2−7x+10=0 Choose the correct option.
A) 5 or 2 B) 4 or 1 C) 4 or 2 D) 6 or 1 E) 7 or 4
Here we need to find out a and b such that a + b = -7 and ab = +10   a = -5 and b = -2 satisfies the above condition.   Hence   x   2   −   7   x   +   10   =   (   x   −   5   )   (   x   −   2   )   x2−7x+10=(x−5)(x−2)   x   2   −   7   x   +   10   =   0   ⇒   (   x   −   5   )   (   x   −   2   )   =   0   x2−7x+10=0⇒(x−5)(x−2)=0   Step 3: Equate each factor to 0 and solve the equations   (   x   −   5   )   (   x   −   2   )   =   0   ⇒   (   x   −   5   )   =   0   or   (   x   −   2   )   =   0   ⇒   x   = 5 or 2   5 or 2
<result>A</result>
Find the value of x from the equation:
x^2−7x+10=0