Find b and then solve the equation: d (b−5)x2−(b−2)x+b=0, if one of its roots is 1/2

ANSWER

EXPLANATION

The given expression is

If

is a root, then it must satisfy the given equation.

Multiply through by 4,

Expand:

Group similar terms;

Our equation then becomes:

Factor:

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.