Solve the following quadratic equations by
completing the square method.
i. x² + 8x – 48 – 0
ii. x2 + 11x + 24 = 0
iii.y² - 4y=1
iv. x² - 6x + 4 = 0
v. x2 + 8x + 9 = 0
vi. z2+4z-7=0
vii. t2 + 2t = t +3
viii. m2- 3m - 1 = 0
ix. 5x² - 4x - 3=0
Answers
Answered by
0
i) Add
48
to both sides of the equation.
x
2
+
8
x
=
48
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
4
)
2
Add the term to each side of the equation.
x
2
+
8
x
+
(
4
)
2
=
48
+
(
4
)
2
Simplify the equation.
Tap for more steps...
x
2
+
8
x
+
16
=
64
Factor the perfect trinomial square into
(
x
+
4
)
2
.
(
x
+
4
)
2
=
64
Solve the equation for
x
.
Similar questions