What number should be added to both sides of the equation to complete the square? x2 – 10x = 7
25 since taking half of the X term would give you -5 and squaring it would give you positive 25
Answer:
25 should add
Step-by-step explanation:
Since, if we have a quadratic equation which is not a perfect square then for making a perfect square trinomial in the equation, we need to add the square of the half of the coefficient of x on both sides of the equation.
∵ Coefficient of x = 10
Half of 10 = 5
Square of 5 = 25
Thus, in equation \(x^2 - 10x = 7\)
We need to add 25 on both sides,
i.e. \(x^2 - 10x + 25 = 7 + 29\)
\((x-5)^2 = 36\)
( ∵ ( a - b )² = a² - 2ab + b² )