Question

solve for x root6x+7 - (2x-7)=0​

Answer 1

Answer:

x = 1.5 and 7

Step-by-step explanation:

root(6x+7) = 2x -7

squaring both sides

(6x+7) = 4x^2 +49 - 28x

4x^2 -34x +42 = 0

2x^2 - 17x + 21 = 0

so a=2, b= -17 and c = 21

using formula

x = (-b+- root(b^2 - 4ac))/2a

x= (17+-root(-17^2-4*2*21)/2*2

x= (17+-root(289-168))/4

x= (17+-root121)/4

x=(17+-11)/4

seperating + and -

x= (17+11)/4 and x= 17-11)/4

x= 28/4 and x= 6/4

so x= 7 and 1.5