Question

find the values of a and b from the quadratic equation 3x^2-7x+9=0​

Answer 1

$3x2−7x−9=03x2-7x-9=0</p><p></p><p>Use the quadratic formula to find the solutions.</p><p></p><h3>−b±√b2−4(ac)2a-b±b2-4(ac)2a</h3><p></p><h3>Substitute the values a=3a=3, b=−7b=-7, and c=−9c=-9-: into the quadratic formula and solve for xx.</h3><p></p><h3>7±√(−7)2−4⋅(3⋅−9)2⋅37±(-7)2-4⋅(3⋅-9)2⋅3</h3><p></p><p>Simplify.</p><p></p><p>Tap for more steps...</p><p></p><h3>x=7±√1576x=7±1576</h3><p></p><h3>The result can be shown in multiple forms.</h3><p></p><p>Exact Form:</p><p></p><p></p><p>$

Answer 2

3

x

2

−

7

x

−

9

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values

a

=

3

,

b

=

−

7

, and

c

=

−

9

into the quadratic formula and solve for

x

.

7

±

√

(

−

7

)

2

−

4

⋅

(

3

⋅

−

9

)

2

⋅

3

Simplify.

Tap for more steps...

x

=

7

±

√

157

6

The result can be shown in multiple forms.

Exact Form:

x

=

7

±

√

157

6

Decimal Form:

x

=

3.25499401

…

,

−

0.92166068

…