Find the roots. 3x2 - 5x+ 2 =0
1 answer:
Answer:
see explanation
Step-by-step explanation:
Given
3x² - 5x + 2 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × 2 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the x- term
3x² - 3x - 2x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) - 2(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x - 2) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
3x - 2 = 0 ⇒ 3x = 2 ⇒ x =
Roots are x = 1, x =
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Answer :
The value of q for, the given quadratic equation is 40
Step-by-step explanation :
Given quadratic equation as :
x² - 14 x + q = 0
And , Difference between the roots of equation is 6
Let A , B be the roots of the equation
So, A - B = 6
The roots of the quadratic equation ax² + bx + c = 0 as can be find as :
x =
x =
or, x =
Or, x =
So , The roots are
A =
And B =
∵ The difference between the roots is 6
So, A - B = 6
Or, ( ) - (
) = 6
Or, ( - 7 + 7 ) + 2 ( = 6
Or, 0 + 2 ( = 6
∴ 196 - 4 q = 36
or, 4 q = 196 - 36
or 4 q = 160
∴ q =
I.e q = 40
S0, The value of q = 40
Hence The value of q for, the given quadratic equation is 40 . Answer
Answer:
x₁ = x₂ (corresponding angles are equal)
y₁ = y₂ (right angles)
z₁ = z₂
Since the angles in the first triangle are equal to the angles in the second triangle, the two triangles are similar.
Because they are similar, then the ratios of their corresponding sides are equal:
h = 9×16/11 = 144/11 = 13 1/11 = 13.09