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11111nata11111 [884]
2 years ago
15

The square of a number minus six times a number equals negative five.

Mathematics
2 answers:
olga_2 [115]2 years ago
3 0

Answer:

x² - 6x = -5

x = {1, 5}

Step-by-step explanation:

The square of a number minus six times a number equals negative five.

x² - 6x = -5

Add 5 to both sides

x² - 6x + 5 = 0

Factor

(x - 1)(x - 5) = 0

x = {1, 5}

Sladkaya [172]2 years ago
3 0

Answer:

x^{2} - 6x = -5

x = 1 or x = 5

Step-by-step explanation:

Let x = the no.

x^{2} - 6x = -5\\x^{2}  - 6x + 5 = 0

(x - 1)(x - 5) = 0

x = 1 or x = 5

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Since point P is the tangent point, this means angle OPT is a right angle

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Let's use the sine and arcsine rule to find angle y

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

Problem 2

Focus on triangle OHP. This may or may not be a right triangle. The goal is to test if it is or not.

We use the converse of the Pythagorean theorem to check.

Recall that the converse of the Pythagorean theorem says: If a^2+b^2 = c^2 is a true equation, then the triangle is a right triangle. The value of c is always the longest side. The order of a and b doesn't matter.

In this case we have

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You follow the same basic idea for triangle OQH and show that point Q is not a tangent point either. Or you could use a symmetry argument to note that triangle OPH is a mirror reflection of triangle OQH over the line segment OH. This implies that whatever properties triangle OPH has, then triangle OQH has them as well for the corresponding pieces.

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