Solve each equation using the quadratic formula. find the solutions. x^2 - 6x + 7 = 0

3±√2

Step-by-step explanation:

Given quadratic equation is :

x²-6x+7=0          

Quadratic formula is :

x=(-b±√b²-4ac)/2a

ax²+bx+c=0 is standard quadratic equation.

Comparing given equation with standard equation,we get

a=1   ,  b=-6 and c=7

Putting above values in quadratic formula,we get

x=(-(-6)±√(-6)²-4(1)(7))/2(1)

x=(6±√36-28)/2

x=(6±√8)/2

x=(6±2√2)/2

x=2(3±√2)/2

x=3±√2 is the solution of given quadratic equation.

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation: