Question

Last question. 50 points!​

Answer 1

w=-1.5

w=2

Answer:

Solution given:

`√(2w²-19w+31)+2=7-2w`

again

keep square root alone

`√(2w²-19w+31)=7-2w-2`

solve subtraction of 7-2

`√(2w²-19w+31)=5-2w`

Squaring on both side

`(√(2w²-19w+31))²=(5-2w)²`

2w²-19w+31=5²-2*5*2w+4w²

take terms one side

2w²-19w+31-25+20w-4w²=0

-2w²+w+6=0

2w²-w-6=0

doing middle term factorisation

2w²-(4-3)w-6=0

2w²-4w+3w-6=0

take common from each two term

2w(w-2)+3(w-2)=0

(w-2)(2w+3)=0

either

w=2

or

W=-3/2=-1.5