Solve 5x²+9x-12=0 by factoring

  x = -3, 4/5

Step-by-step explanation:

To factor the equation, you need to find factors of (5)(-12) that have a sum of (+9).

  (5)(-12) = -60 = 60(-1) = 30(-2) = 15(-4) = 12(-5) = 10(-6)

The factors 15 and -4 have a sum of 9, so we can factor the equation as ...

  5x² +15x -4x -12 = 0

  5x(x +3) -4(x +3) = 0  . . . .  factor pairs of terms

  (5x -4)(x +3) = 0

The solutions are the values of x that make these factors zero:

  5x -4 = 0   ⇒   x = 4/5

  x +3 = 0   ⇒   x = -3

The solutions are x = -3 or 4/5.

Question:

Which is the value of the expression

A. 1

B. 2

C. 8

D. 10

B. 2

Step-by-step explanation:

Given

Required

Evaluate

Split Fraction

From Laws of Indices

Applying this law to the above expression, we have

Also, from Laws of Indices

Applying this law to the above expression, we have

Multiply 10 by 1

Hence,