12abx square - (9a square - 8b square)x - 6ab =0

The value of x is and

Explanation:

The expression is

Multiplying the term x withing the bracket, we get,

Grouping the terms, we have,

Taking out the common terms in each bracket, we get,

Simplifying, we get,

Equating each term to zero, we get,

  and

Hence, the values of x is and

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

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step-by-step explanation: