So if we want to know the common solution(s) to a system of 2 equations, So we can just set both equations equal to each other and solve for the x value(s). That’s where I start below;

2x^2-13x+21 = 2x^2+9x-56
2x^2 cancels out and moving everything to one side and anything with an x variable to the other side we have then;
-22x=-77
22x=77 by cancelling the negative signs
x=77/22 therefore x=7/2 or 3.5

Hope this helps you. Any questions please ask.

4 0

3 years ago

Solve each equation by completing the square <br> 6) m² + 16m – 8 = 0

Natali5045456 [20]

Answer:

m = - 8 ± 6 $\sqrt{2}$

Step-by-step explanation:

Given

m² + 16m - 8 = 0 ( add 8 to both sides )

m² + 16m = 8

To complete the square

add ( half the coefficient of the m- term )² to both sides

m² + 2(8)m + 64 = 8 + 64

(m + 8)² = 72 ( take the square root of both sides )

m + 8 = ± $\sqrt{72}$ = ± $\sqrt{36(2)}$ = ± 6 $\sqrt{2}$

Subtract 8 from both sides

m = - 8 ± 6 $\sqrt{2}$

3 0

3 years ago

Drag the simplified value into the box to match each expression.

AveGali [126]

Answer:

2^{3} +1⋅4−3 = 9

2^{0}+10−4⋅2 = 3

3+5^{2} -6⋅4 = 4

Step-by-step explanation:

4 0

2 years ago

What is the value of x

ratelena [41]

Answer:

Step-by-step explanation:

6 0

3 years ago