The value of x are; x = 5 + √(97)/12 and x = 5 - √(97)/12.
A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given;
5x = 6x² - 3
Subtract 5x on both sides
5x - 5x = 6x² - 5x - 3
0 = 6x² - 5x - 3
x = -(-5) ± √((-5)² - 4(6)(-3)) / 2(6)
x = 5 ± √(25 + 72)/ 12
x = 5 ± √(97)/ 12
The value of x are;
x = 5 + √(97)/12
x = 5 - √(97)/12
Learn more about quadratic equations;
#SPJ5
B (a, 2a)
C (a, a)
D (a, 0)
The density of the liquid will be 1500 kg per cubic meter.
The density is the ratio of mass to volume of any substance.
Let m be the mass of the object and v be the volume of the object.
Then the density D will be
D = m / v kg / cubic m
More the density means the number of the molecules will be more in a unit volume.
A sample of liquid has a mass of 24g and a volume of 16ml.
We know that one kg equals to 1000 grams.
24 g = 0.024 kg
We know that one ml equal to 10⁻⁶ cubic meters.
16 ml = 16 × 10⁻⁶ cubic meters
Then the density of the liquid will be
Density = 0.024 / 16 × 10⁻⁶
Density = 1500 kg per cubic meter
Thus, the density of the liquid will be 1500 kg per cubic meter.
More about the density link is given below.
#SPJ2