We can factor just like a normal quadartic! We want two numbers that multiply to 36x² and add to -13x. These numbers are -9x and -4x. Because our leading coefficient is 1, we can factor straight to (x²-4)(x²-9). Here's what it would look like if we split the middle and factored:
Of course, any value which causes either factor to equal zero is a solution. The other factor times zero is still going to be zero, of course. Let's derive these two possibilities from our equation. We can add that constant to the right side... And take the square root of each side.
So, your possible x values are 2, -2, 3, and -3.
x⁴-13x²+36 (x²-4)(x²-9)
x²=4. | x²=9 x=√4. |x=√9 x=2. |x=3
27x³-8=0 x³=8/27 x=2/3
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Select the pair of equations whose graphs are perpendicular.A.2y = –3x + 5 2x + 3y = 4
A street light bulb is fixed on a pole 6m above the level of the street. If a women of height 1.5m casts a shadow of 3m, find how far is she away from the base of the pole
Answers
The woman's shadow length is 2 times her height, so her distance from the light is 2 times the difference in height between her and the light bulb.
2×(6 m - 1.5 m) = 9 m
_____ A diagram can help you see the similar triangles.
-7x+y=−7x+y=
\,\,-30−30
2x-5=2x−5=
\,\,yy
Answers
2x-5= 3x-6
that’s the answer
Question in the file below. (Khan Academy)
Answers
We can suggest this equation. (6x+x)+(6x+x)+110º+110º=360º 7x+7x+220º=360º 14x=360º-220º 14x=140º x=140º/14 x=10º