Type it into the app or online on ‘Desmos’ it a really good graphing calculator. I hope this helps
(x+12)^2 = 0
x + 12 = 0
x = - 12
Answer:
Please use " ^ " for exponentiation: x^2 + 2x + 8 ≤ 0.
Let's solve this by completing the square:
x^2 + 2x + 8 ≤ 0 => x^2 + 2x + 1^2 - 1^2 + 8 ≤ 0. Continuing this rewrite:
(x + 1)^2 + 7 ≤ 0
Taking the sqrt of both sides: (x + 1)^2 = i*sqrt(7)
Then the solutions are x = -1 + i√7 and x = -1 - i√7
There's something really wrong here. I've graphed your function, x^2 + 2x + 8, and can see from the graph that there are no real roots, but only complex roots. Please double-check to ensure that you've copied down this problem correctly.
The answer would be: A) square root of 12
the square root of 12 is about 3.4641, irrational numbers most often have decimal points
Y−<span><span>5x</span>6</span>=−1<span>y-<span><span>5x</span>6</span>=-1</span>
<span>AA</span>
must be positive, so multiply both sides of the equation by <span><span>−1</span><span>-1</span></span>
.<span><span>−1⋅<span>(y−<span><span>5x</span>6</span>)</span>=−1⋅−1</span><span>-1⋅<span>(y-<span><span>5x</span>6</span>)</span>=-1⋅-1</span></span>
Simplify the left side of the equation.Tap for more steps...Multiply <span><span>−1</span><span>-1</span></span>
by <span><span>y−<span><span>5x</span>6</span></span><span>y-<span><span>5x</span>6</span></span></span>
to get <span><span>−1<span>(y−<span><span>5x</span>6</span>)</span></span><span>-1<span>(y-<span><span>5x</span>6</span>)</span></span></span>
.<span><span>−1<span>(y−<span><span>5x</span>6</span>)</span>=−1⋅−1</span><span>-1<span>(y-<span><span>5x</span>6</span>)</span>=-1⋅-1</span></span>
Apply the distributive property.<span><span>−1y−1<span>(−<span><span>5x</span>6</span>)</span>=−1⋅−1</span><span>-1y-1<span>(-<span><span>5x</span>6</span>)</span>=-1⋅-1</span></span>
Rewrite <span><span>−1y</span><span>-1y</span></span>
as <span><span>−y</span><span>-y</span></span>
.<span><span>−y−1<span>(−<span><span>5x</span>6</span>)</span>=−1⋅−1</span><span>-y-1<span>(-<span><span>5x</span>6</span>)</span>=-1⋅-1</span></span>
Simplify <span><span>−1<span>(−<span><span>5x</span>6</span>)</span></span><span>-1<span>(-<span><span>5x</span>6</span>)</span></span></span>
.Tap for more steps...Multiply <span><span>−1</span><span>-1</span></span>
by <span><span>−1</span><span>-1</span></span>
to get <span>11</span>
.<span><span>−y+1<span>(<span><span>5x</span>6</span>)</span>=−1⋅−1</span><span>-y+1<span>(<span><span>5x</span>6</span>)</span>=-1⋅-1</span></span>
Multiply <span><span><span>5x</span>6</span><span><span>5x</span>6</span></span>
by <span>11</span>
to get <span><span><span>5x</span>6</span><span><span>5x</span>6</span></span>
.<span><span>−y+<span><span>5x</span>6</span>=−1⋅−1</span><span>-y+<span><span>5x</span>6</span>=-1⋅-1</span></span>
<span><span>−y+<span><span>5x</span>6</span>=−1⋅−1</span><span>-y+<span><span>5x</span>6</span>=-1⋅-1</span></span>
Reorder <span><span>−y</span><span>-y</span></span>
and <span><span><span>5x</span>6</span><span><span>5x</span>6</span></span>
.<span><span><span><span>5x</span>6</span>−y=−1⋅−1</span><span><span><span>5x</span>6</span>-y=-1⋅-1</span></span>
<span><span><span><span>5x</span>6</span>−y=−1⋅−1</span><span><span><span>5x</span>6</span>-y=-1⋅-1</span></span>
Multiply <span><span>−1</span><span>-1</span></span>
by <span><span>−1</span><span>-1</span></span>
to get <span>11</span>
.<span><span><span><span>5x</span>6</span>−y=1</span><span><span><span>5x</span>6</span>-y=<span>1</span></span></span>