For it to have two equal roots then the discriminant of the quadratic equation must equal zero:-
242-4*(b) = 0
576 -4*(b) = 0
-4*(b) = -576
Divide both sides by -4 to find the value of b:
b = 144
So the quadratic equation is: x2+24x+144 = 0
When factored: (x+12)(x+12) = 0
Therefore: x = -12 or x = -12
49
49
-12
(b/2)^2= 64
To make the expression (x^2 + 26x + A) a perfect square trinomial, we need to find the value of (A) that completes the square. The formula for a perfect square trinomial is ((x + b)^2 = x^2 + 2bx + b^2). In this case, we have (2b = 26), so (b = 13). Thus, (A) must be (b^2 = 13^2 = 169). Therefore, the value of (A) is 169.
What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?
6.25
None does, since there is no polynomial below.
49
49
16
81.
26
38
64
-12
To make the expression y^2 + 8y + c a perfect square trinomial, we need to find the value of c that completes the square. The formula to complete the square is (b/2)^2, where b is the coefficient of the y-term, which is 8 in this case. So, (8/2)^2 = 16. Therefore, the value of c that makes the trinomial a perfect square is 16.