How will you describe the roots of the quadratic equation x² + 12 = 7x, when sol...

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October 2022 1 0 Report

How will you describe the roots of the quadratic equation x² + 12 = 7x, when solved using quadratic formula?
Paki ayos ng mga sagot 2ll

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Storm08

Answer:

the roots are real numbers

Step-by-step explanation:

$x {}^{2} + 12x = 7x$

move the variable to the right:

$x {}^{2} + 12x - 7x = 0$

use the quadratic formula:

$x = \frac{ - b \: + \: or \: - \: \sqrt{ {b}^{2} - \: 4ac} }{2a}$

substitute all values:

$x = \frac{ - ( - 7) \: + or - \: \sqrt{( - 7) {}^{2} - 4(1)(12) } }{2(1)}$

multiply and evaluate:

$x = \frac{7 \: + or - \: \sqrt{49 - 48} }{2}$

calculate:

$x = \frac{7 \: + or - \: \sqrt{1} }{2}$

calculate the root:

$x = \frac{7 \: + or - \: 1}{2}$

separate the solutions:

$x = \frac{7 + 1}{2}$

$x = \frac{7 - 1}{2}$

calculate:

x = 4

x = 3

radjbartolome a.Equal b.Irrational c.Rational d.Non-real?

Storm08 c. rational

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