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Galina-37 [17]
2 years ago
6

Enter the correct answer in the box. What are the solutions of this quadratic equation? X^2+164=16x Substitute the values of a a

nd b to complete the solutions.
Mathematics
1 answer:
saw5 [17]2 years ago
4 0

Answer:

x = 8 - 10i or 8 + 10i

Step-by-step explanation:

Our equation is given as:

x² + 164 = 16x

x² - 16x + 164 = 0

We solve using Almighty formula

x = -b ± √b² - 4ac/2a

Where : ax² + bx + c

For our Equation

a = 1, b = -16, c = 164

Hence,

x = -(-16) ± √-16² - 4 × 1 × 164/2 × 1

x = 16 ± √256 - 656/2

x = 16 ± √-400/2

Finding the roots

x = 16/2 ± √-400/2

x = 8 ± 20i/2

x = 8 ± 10i

Therefore, the value of x

= 8 - 10i or 8 + 10i

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Dimensions: 3 cm by 4 cm

Perimeter: 14 cm

Area: 12 square cm

========================================

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We start off with a 12 cm by 16 cm rectangle, which turns into 3 cm by 4 cm when we divide each value by 4, which is the same as multiplying by 1/4. Alternatively, you can compute 1/4 = 0.25 first and then multiply 0.25 by 12 and 16 to get 3 and 4 respectively.

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