What are the solutions to the equation (9+2x)(4+2x)=84 ?

The solutions to the equation (9+2x)(4+2x)=84 are x= 3/2 ,x=-8

Find the zeros of (9+2x)(4+2x)=84

The zeros of (9+2x)(4+2x)=84 are x= 3/2 ,x=-8

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(9 + 2 x) (4 + 2 x) = 84

x = \frac{3}{2}, x = - 8

Decimal Notation

x = 1.5, x = - 8

Solution steps

(9 + 2 x) (4 + 2 x) = 84

Expand

(9 + 2 x) (4 + 2 x) : 36 + 26 x + 4 x^{2}

36 + 26 x + 4 x^{2} = 84

Move

84

to the left side

4 x^{2} + 26 x - 48 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 26 \pm 2 6 ^{2} - 4 \cdot 4 ( - 48 )}{2 \cdot 4}

2 6^{2} - 4 \cdot 4 (- 48) = 38

x_{1, 2} = \frac{- 26 \pm 38}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 26 + 38}{2 \cdot 4}, x_{2} = \frac{- 26 - 38}{2 \cdot 4}

x = \frac{- 26 + 38}{2 \cdot 4} : \frac{3}{2}

x = \frac{- 26 - 38}{2 \cdot 4} : - 8

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = - 8

x^{2} + 5 x - 4

(x + 2) (x + 4) = 2 x

1 + (- \frac{2}{3}) - (- m) m = \frac{9}{2}

x^{2} = - 56

R, 200 = \frac{1}{3} π R^{2} H

What are the solutions to the equation (9+2x)(4+2x)=84 ?
The solutions to the equation (9+2x)(4+2x)=84 are x= 3/2 ,x=-8
Find the zeros of (9+2x)(4+2x)=84
The zeros of (9+2x)(4+2x)=84 are x= 3/2 ,x=-8