(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0
Solve this quadratic for x:
x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5 (answer E)
Answer:
Step-by-step explanation:
we know that
DGH ~ DEF ---> given problem
Remember that
If two triangles are similar, then the rtio of its corresponding sides is proportional and its corresponding angles are congruent
so
substitute the given values
Step-by-step explanation:
x²+3x+4=0
x²+3x_ +2=0
x²+3x_2=-2
x²+3x_2+(3x_4)²=-2+(3/4)²
(x+3/4) =-2+9_16
x+3_4 = -32+9__16 =√-23_6
x+3_4 =-√23_4
x = -3+√-23___4
x = -3- √-23___4 , -3+√-23___4 //
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Answer:
VW=18
Step-by-step explanation:
UV+VW=UW
10+4x=6x+1
2x=9
x=9/2
VW=4x
VW=4*9/2
VW=18
