Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. x^2 - 4 = 10x

The final answers are x = 10.385 OR x = -0.385  

Step-by-step explanation:

Given the equation is x^2 -4 = 10x

Rewriting it in quadratic form as:- x^2 -10x -4 = 0.

a = 1, b = -10, c = -4.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( 10 ± √(100 -4*1*-4) ) / (2*1)

x = ( 10 ± √(100 +16) ) / (2)

x = ( 10 ± √(116) ) / (2)

x = ( 10 ± 10.77 ) / (2)

x = ( 10 + 10.77 ) / (2) OR x = ( 10 - 10.77 ) / (2)

x = 20.77/2 OR x = -0.77/2

x = 10.385 OR x = -0.385

Hence, final answers are x = 10.385 OR x = -0.385

x=10.385 or x= -.385

Step-by-step explanation:

Given equation is:

x²-4=10x

We have to find the value of x.

x²-4=10x

Adding -10x to both sides of above equation,we get

x²-4-10x=10x-10x

x²-10x-4=0           eq(1)

ax²+bx+c=0 is general form of quadratic equation.

x= (-b±√b²-4ac) / 2a is quadratic formula to find the value of x.

Comparing eq(1) with general quadratic equation,we get

a=1   b=-10 and c=-4

Putting above values in quadratic formula,we get

x=(-(-10)±√(-10)²-4(1)(-4)) / 2(1)

x=(10±√100+16) / 2

x=(10±√116) / 2

x=(10±10.77) / 2

x= 10+10.77 / 2 or x= 10-10.77 / 2

x=20.77 / 2 or x=-.77 / 2

x=10.385 or x= -.385 is solution of given equation.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.