What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0? use u substitution to solve.

x= 18 or x=11

Step-by-step explanation:

Given the equation as

(x-8)² -13(x-8)+30=01

Let x-8 to be substituted by u

So x-8=u2

Use equation 2 in equation 1

(u)² -13(u) +30 =0

u²-13u+30=0factorize

u²-3u-10u+30=0

u(u-3)-10(u-3)=0

(u-10) (u-3) =0find value of u

u-10=0

u=10 or

u-3=0

u=3

Use values of u in equation  2

when u=10

but u=x-8

hence 10=x-8

x=10+8=18

or

when u=3

hence 3=x-8

x=3+8=11

x= 18 or x=11

r and t.

both are 64 degrees.

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: