Question

Solve the following quadratic equation by formula method m ( m - 10 ) = -25​

Answer 1

Step-by-step explanation:

Distribute

(

−

1

0

)

=

−

2

5

{\color{#c92786}{m(m-10)}}=-25

m(m−10)=−25

2

−

1

0

=

−

2

5

Answer 2

Answer:

m

2

−3m−1=0

m

2

−3m=1

Third term =(

2

1

coeeficientofm)

2

(

2

1

×(−3))

2

=(

2

−3

)

2

=

4

9

Adding

P4

9

to both sides of equation (1), we get

m

2

−3m+

4

9

=1+

4

9

∴ m

2

−3m+

4

9

=

4

4+9

∴ (m−

2

3

)

2

=

4

13

Taking square roots on both sides

∴ m−

2

3

=±

2

13

∴ m=

2

3

+

2

13

or m=

2

3

−

2

13

m=

2

3+

13

,

2

3−

13

are the roots of the given quadratic equation.