Sagot :
x² + 16x + 64 = 0
x² + 2 * x * 8 + 8² = 0
Now, sing the formula (a + b)² = a² + 2ab + b² , we get,
(x + 8)² = 0
Square rooting on both sides, we get,
x + 8 = √0
x + 8 = 0
x = - 8 <== that's your answer!!!
x² + 2 * x * 8 + 8² = 0
Now, sing the formula (a + b)² = a² + 2ab + b² , we get,
(x + 8)² = 0
Square rooting on both sides, we get,
x + 8 = √0
x + 8 = 0
x = - 8 <== that's your answer!!!
x²+16x+64=(x+8)² (because (a+b)²=a²+2ab+b² => perfect square)
So you have to find x which will make (x+8)²=0
which is true when x+8=0
x=-8
That's a.
Hope it helps!
So you have to find x which will make (x+8)²=0
which is true when x+8=0
x=-8
That's a.
Hope it helps!