The answer is: x = 7 - √53 or x = 7 + √53
The general quadratic equation is: ax² + bx + c =
0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is
after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0
1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53
Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53
(5x^2 - 7)(5x^2 + 7)
(5x^2)^2 - 7^2
25x^4 - 49
Answer:
25x^4 - 49
Hope this helps.
Answer:
D) 2√5
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
2^2 + 4^2 = c^2
4 + 16 = c^2
20 = c^2
√20 = √c^2
2√5 = c
Answer:
triangle abd is isosceles triangle and triangle dbc is equilateral triangle.
opposite sides of equal angles are same. so, ad= bd
and bd is the side of equilateral triangle. so, bd=bc=dc
perimeter of quadrilateral = sum of all sides.
perimeter=11+8+8+8
perimeter =35
