Question

What are the solutions of this quadratic equation ? x ^ 2 = 16x - 65 Substitute the values of a and b to complete the solutions . Box Box Box^ Box TT sqrt Box sqrt[ Box] Box X x = a + bi x = a - bi​

Answer 1

Answer:

x = 8 + $\sqrt{58}$ or x = 8 − $\sqrt{58}$

Step-by-step explanation:

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Answer 2

The solution to the quadratic equation are 8 + i and 8 - i

Quadratic equations are written in the form ax²+bx+c = 0

Given the quadratic equations x² = 16x - 65

Rewrite in standard form

x²-16x +65=0

From the equations

a = 1

b = 16

c = 65

Using the general formula expressed as:

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Substitute the given values into the formula:

$x=\frac{16\pm\sqrt{16^2-4(1)(65)} }{2(1)}\\x=\frac{16\pm\sqrt{256-260} }{2(1)}\\x=\frac{16\pm\sqrt{-4} }{2}\\x=\frac{16 \pm 2i}{2}\\x=8\pm i$

Hence the solution to the quadratic equation are 8 + i and 8 - i

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