solve quadratic equation X upon 2 + 6 upon X equal to 4
Answers
Answer:
Hope it helps you a lot
Step-by-step explanation:
Value of x is 8 and 5.5
Step-by-step explanation:
Given: \frac{x-4}{x-5}+\frac{x-6}{x-7}=\frac{10}{3}
x−5
x−4
+
x−7
x−6
=
3
10
To find: Value of x
\frac{x-4}{x-5}+\frac{x-6}{x-7}=\frac{10}{3}
x−5
x−4
+
x−7
x−6
=
3
10
\frac{(x-4)(x-7)+(x-6)(x-5)}{(x-5)(x-7)}=\frac{10}{3}
(x−5)(x−7)
(x−4)(x−7)+(x−6)(x−5)
=
3
10
\frac{x^2-7x-4x+28+x^2-5x-6x+30}{x^2-7x-5x+35}=\frac{10}{3}
x
2
−7x−5x+35
x
2
−7x−4x+28+x
2
−5x−6x+30
=
3
10
\frac{2x^2-22x+58}{x^2-12x+35}=\frac{10}{3}
x
2
−12x+35
2x
2
−22x+58
=
3
10
3(2x^2-22x+58)=10(x^2-12x+35)3(2x
2
−22x+58)=10(x
2
−12x+35)
6x^2-66x+174=10x^-120x+3506x
2
−66x+174=10x
−
120x+350
4x^2-54x+176=04x
2
−54x+176=0
2x^2-27x+88=02x
2
−27x+88=0
2x^2-16x-11x+88=02x
2
−16x−11x+88=0
2x(x-8)-11(x-8)=02x(x−8)−11(x−8)=0
(x-8)(2x-11)=0(x−8)(2x−11)=0
So,
x - 8 = 0 ⇒ x = 8
2x - 11 = 0 ⇒ x = 5.5
Therefore, Value of x is 8 and 5.5
Answer:
4+2√2i , 4-2√2i
Step-by-step explanation:
x/(2+6/x)= 4
x= 8+(24/x)
x^2 - 8x-24=0
x= (-(-8)+-√64-96) /2
= 8+4√2i /2 ,8-4√2 /2
= 4+2√2i , 4- 2√2i