If 1/2x^2 - 1/4 x + 3 what is the value of x = 8 ?

If x=8 then the equation is equal to 33

If 1/2(x)^2-1/4x=3=8 then x=-2.98 and x=3.35

Step-by-step explanation:

Given:

1/2x^2-1/4x+3

Two solutions possible:

If x=8 then 1/2(8)^2-1/4(8)+3=32-2=3=33

If 1/2(x)^2-1/4x+3=8 then .5x^2-.25x-5=0

factoring:

(.707x+2.11)(.707x-2.37)=0

.707x=-2.11 and .707x=2.37

x=-2.98 and x=3.35 rounded to 2 places

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option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.