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Sergeeva-Olga [200]
3 years ago
14

Determine if b = -3 is a solution to 4b - 6 = -18. Be sure to show all of your work.

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Given b equals -3, determine if it is a solution to 4b - 6 = - 18.

So, we have our given which is b = -3, and we are asked to determine if it a solution to the above equation.

To do this, we can plug -3 in for b and see if it works out.

Work:

Plug in -3 for b.

4(-3) - 6 = - 18

-12 - 6 = -18

-12 - 6 = - 18

Thus, b = -3 is a viable solution for the equation of 4b - 6 = -18.

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By the quadratic formula, the <em>solution</em> set of the <em>quadratic</em> equation is formed by two <em>real</em> roots: x₁ = 0 and x₂ = - 12.

<h3>How to find the solution of quadratic equation</h3>

Herein we have a <em>quadratic</em> equation of the form a · m² + b · m + c = 0, whose solution set can be determined by the <em>quadratic</em> formula:

x = - [b / (2 · a)] ± [1 / (2 · a)] · √(b² - 4 · a · c)      (1)

If we know that a = - 1, b = 12 and c = 0, then the solution set of the quadratic equation is:

x = - [12 / [2 · (- 1)]] ± [1 / [2 · (- 1)]] · √[12² - 4 · (- 1) · 0]

x = - 6 ± (1 / 2) · 12

x = - 6 ± 6

Then, by the quadratic formula, the <em>solution</em> set of the <em>quadratic</em> equation is formed by two <em>real</em> roots: x₁ = 0 and x₂ = - 12.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

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