ax² + bx + c = 0
x = (-b ± √(b² - 4ac))/2a
First, rewrite the first equation so that the first coefficient is 1. Divide everything by a.
(ax² + bx + c = 0)/a =
x² + (b/a)x + (c/a) = 0
Isolate (c/a) by subtracting (c/a) from both sides
x² + (b/a)x + (c/a) (-(c/a) = 0 (- (c/a)
x² + (b/a)x = 0 - (c/a)
Add spaces
x² + (b/a)x = -c/a
Take 1/2 of the middle term's coefficient and square it. Remember that what you add to one side, you add to the other.
x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²
Simplify the left side of the equation.
x² + (b/a)x + (b/2a)² = (x + (b/2a))²
(x + b/2a))² = ((b²/4a²) - (4ac/4a²)) -> ((b² - 4ac)/(4a²))
Take the square root of both sides of the equation
√(x + b/2a))² = √((b²/4a²) - (4ac/4a²))
x + b/(2a) = (±√(b² - 4ac)/2a
Simplify. Isolate the x.
x = -(b/2a) ± (∛b² - 4ac)/2a = (-b ± √(b² - 4ac))/2a
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Answer:
<em>π∫52(ey3)2dy</em>
The work I did to solve this equation:
Step 1
<em>ln(3x)=2
</em>
<em>3x=2e
</em>
<em>x=2e3
</em>
Step 2
<em>ln(3x)=5
</em>
<em>3x=5e
</em>
<em>x=5e3</em>
Step 3
<em>y=ln(3x)⟺ey=3x⟺ey3=x</em>
Step 4
π∫52(ey3)2dy
Answer:
It's close between Y and Z, but I'd go with Z
Step-by-step explanation:
≈-2.2360679775
Answer:
10⁶
PLZ MARK AS BRAINLIEST(if i am correct)
Greater than 5.4 i hate the 20 characters rule
