What are the solutions to the equation factor 9x^2=16 ?

The solutions to the equation factor 9x^2=16 are x=-4/3 ,x= 4/3

Find the zeros of factor 9x^2=16

The zeros of factor 9x^2=16 are x=-4/3 ,x= 4/3

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9 x^{2} = 16

x = - \frac{4}{3}, x = \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots, x = 1.33333 \dots

Solution steps

9 x^{2} = 16

Move

16

to the left side

9 x^{2} - 16 = 0

Factor

9 x^{2} - 16 : (3 x + 4) (3 x - 4)

(3 x + 4) (3 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x + 4 = 0 or 3 x - 4 = 0

Solve

3 x + 4 = 0 : x = - \frac{4}{3}

Solve

3 x - 4 = 0 : x = \frac{4}{3}

The solutions to the quadratic equation are:

x = - \frac{4}{3}, x = \frac{4}{3}

(a - 3) (a - 4) = 0

10 x^{2} - x = 0

x, x^{2} = y^{2} - x y

x, x^{2} + m x + 4 = 0

(3 - x) 2 + x^{2} = 2 (5 - x)

What are the solutions to the equation factor 9x^2=16 ?
The solutions to the equation factor 9x^2=16 are x=-4/3 ,x= 4/3
Find the zeros of factor 9x^2=16
The zeros of factor 9x^2=16 are x=-4/3 ,x= 4/3