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What are the solutions to the quadratic equation 100 = 4(x + 4)2?

The 2 is more in the top smaller

User Evolon
by
4.9k points

2 Answers

3 votes

Answer:

17/2

Explanation:

100 = 4 * (x+4) * 2

Solve by distributing:

100 = 8x + 8 * 4

Simplify:

100 = 8x + 32

Subtract 32 from both sides:

100 - 32 = 8x + 32 - 32

Simplify:

8x = 68

Divide both sides by 8:

8x/8 = 68/8

Simplify the fraction:

X = 68/8

X = 17/2

Found by GCF which is 4. 17 * 4 = 68 and 2 * 4 = 8

User Astha Garg
by
4.4k points
0 votes

Answer:

x=

2

17

Explanation:

Pasos para resolver una ecuación lineal

100=4(x+4)2

Multiplica 4 y 2 para obtener 8.

100=8(x+4)

Usa la propiedad distributiva para multiplicar 8 por x+4.

100=8x+32

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.

8x+32=100

Resta 32 en los dos lados.

8x=100−32

Resta 32 de 100 para obtener 68.

8x=68

Divide los dos lados por 8.

x=

8

68

Reduzca la fracción

8

68

a su mínima expresión extrayendo y anulando 4.

x=

2

17

User Ben Davidow
by
4.8k points