If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.
<h3>Discriminant: </h3>
The quadratic formula includes the discriminant, which comes after the square root. The discriminant of a quadratic equation is important because it indicates the quantity and kind of solutions.
The formula for the Discriminant of a Quadratic Equation ax²+bx +c = 0 is given by
<h3> Discriminant Δ = b² - 4ac </h3>
Here we have
x² + 16x + c = 0 equation has only one real solution
Compare given equation with ax²+ bx + c = 0
=> a = 1, and b = 16
As we know when an equation has only one real solution
then its Discriminant will be equal to zero
=> b² - 4ac = 0
By the above values,
=> 16² - 4(1)c = 0
=> 256 - 4c = 0
=> 4c = 256
=> c = 256/4
=> c = 64
Therefore,
If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.
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Volume is calculated by multiplying (3/4)pi by the radius cubed
Answer:
0.004462m²
612000m²
0.0482m²
Step-by-step explanation:
Using the conversion
1mm² = 10^-6m²
4462mm² = x
Cross multiply
1 * x = 4462 * 10^-6
x = 4462 * 10^-6
x = 4.462 * 10^3 * 10^-6
x = 4.462*10^{3-6}
x = 4.462*10^-3
x = 0.004462m²
Hence 4462 mm² in m² is 0.004462m²
0.612 km² in m²
1km² = 10^6m²
0.612km² = y
Cross multiply
1 * y = 0.612 * 10^6
y = 0.612*1,000,000
y = 612000m²
Hence 0.612 km² in m² is 612000m²
482 cm² in m²
1cm² = 0.0001m²
482 cm² = z
z = 482 * 0.0001
z = 0.0482m²
Hence 482 cm² in m² is 0.0482m²
Answer: Answer and explanation in pic
Step-by-step explanation:
