The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,
2x² – 9x + 2+1 = –1 + 1
2x² – 9x + 3 = 0
Next step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 2, b = -9 and c = 3.
So, discriminant = b²- 4ac
=( -9)²-4 (2)(3)
= 81 - 24
= 57
So, discriminant of the given equation is 57.
57 is greater than 0 and square root of 57 will result real number.
So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.
Answer:
x = 8
Step-by-step explanation:
Let's solve your equation step-by-step.
5x−6=3x+10
Step 1: Subtract 3x from both sides.
5x−6−3x=3x+10−3x
2x−6=10
Step 2: Add 6 to both sides.
2x−6+6=10+6
2x=16
Step 3: Divide both sides by 2.
2x
/2
=
16/
2
x=8
Answer: 95.40
Step-by-step explanation:
7.95*12=95.40
<u>We are given:</u>
We know that the sum of all interior angles of a Pentagon is 540°
we are given 4 out of the 5 angles
<u>Solving for x:</u>
since the sum of all 5 angles is 540°:
75 + 130 + 135 + x + 90 = 540
x + 430 = 540
x = 540 - 430
x = 110°
I did where you subtract 4 from both sides then divide 2 from 4 and you get 0.5 as x for your answer but im not sure