Multiply, then you get 2a - 10 = -2. Then isolate the variable by adding 10 on both sides. you get 2a = 8. divide both by 2 and you get a = 4
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
Answer:
Around 30 times I believe
Answer:
A. (see Step-by-step explanation)
B. (-1, 4)
Step-by-step explanation:
<em>Since both functions are equal to </em><em>y</em><em>, we can set them equal to </em><u><em>each other.</em></u>
-x + 3 = 4x + 8
<em>Add the </em><em>x</em><em> to both sides (because it is negative on the left) and subtract the </em><em>8</em><em> from both sides (because it is positive on the right and we need to isolate the variable).</em>
-5 = 5x
<em>Divide both sides by 5 (because it is being multiplied to the </em><em>x</em><em>) to isolate </em><em>x</em><em>.</em>
x = -1
<em>Next, to solve for </em><em>y</em><em>, we can plug in </em><em>-1</em><em> for </em><em>x</em><em> in either equation from the beginning.</em>
y = -(-1) + 3
y = 1 + 3
y = 4
Answer:
B
Step-by-step explanation:
