Question

1) 5(X+2)^2-75=0 2) x-√2=5X(√2-X） 3）X^2-√64=0 4）2X^2-3√6-11/

Answer 1

1) 5(X+2)^2-75=0 ==> (x+2)^=75/5=25 ==> |x+2|=5 ==> x=3,-7 2) x-√2=5X(√2-X） ==> (x-√2) - 5X(√2-X)=0 ==> (x-√2) * (1+5X)=0 ==> x=√2,-1/5 3）X^2-√64=0 ==> X^2=√64 ==> x^2=8 ==> x=2√2,-2√2 4）2X^2-3√6-11/2=0 ==> 2X^2=3√6+11/2 ==> X^2=3/2*√6+11/4 ==> X=±√(3/2*√6+11/4)=±[√(6*√6+11)]/2 5）3X(X-2)=5(2-X） ==> 3X(X-2)-5(2-X)=0 ==> (x-2)(3x+5)=0 ==> x=2,-5/3 6）（3X+2）^2=8(X-1）^2-100 ==> 9x^2+12x+4=8x^2-16x+8-100 ==> x^2+28x+96=0 ==> (x+4)(x+24)=0 ==> x= -4,-24