3 years ago

Solve the system by substitution y=4 2x+3y=-20

Mathematics

1 answer:

Anna35 [415]3 years ago

5 0

The answer to the question

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What is the solution of the equation (x – 5)^2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

xz_007 [3.2K]

Answer:

$x = \dfrac{7 \pm 3i\sqrt{3}}{2}$

Step-by-step explanation:

(x – 5)^2 + 3(x – 5) + 9 = 0

This is a quadratic equation in x - 5.

Let u = x - 5, then the quadratic equation becomes:

u^2 + 3u + 9 = 0

We can use the quadratic formula to solve for u.

$u = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$u = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(9)}}{2(1)}$

$u = \dfrac{-3 \pm \sqrt{9 - 36}}{2}$

$u = \dfrac{-3 \pm \sqrt{-27}}{2}$

$u = \dfrac{-3 \pm 3i\sqrt{3}}{2}$

Since u = x - 5, now we substitute x - 5 for u and solve for x.

$x - 5 = \dfrac{-3 \pm 3i\sqrt{3}}{2}$

$x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + 5$

$x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + \dfrac{10}{2}$

$x = \dfrac{7 \pm 3i\sqrt{3}}{2}$

7 0

3 years ago

Solve x to the second power = 144

vfiekz [6]

x ^ 2 = 144

x = 12, x = -12

Check:

12 * 12 = 144

-12 * -12 = 144

6 0

3 years ago

Read 2 more answers

Please help I need it now

geniusboy [140]

Answer:

irrational irrational rational irrational rational

6 0

3 years ago

A line with a slope of -7 passes through the points (4,5) and (5,g). What is the value of g?

Semmy [17]

Answer:

I think the answer would be -2 . hope it helps u .

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3 years ago

Factor by grouping 5·(a+3)^2-(a+3)

Y_Kistochka [10]

Answer:

(a+3)(5a+14)

Step-by-step explanation:

Hope this helps

8 0

3 years ago