Drag the cards below to create an expression that is equal to 6/5 / * 5 6 pls help!!!
1 answer:
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Answer:
x = 5
Step-by-step explanation:
Given
x = ( square both sides )
x² = 3x + 10 ( subtract 3x + 10 from both sides )
x² - 3x - 10 = 0 ← in standard form
(x - 5)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
As a check
Substitute these values into the equation and if both sides are equal then they are solutions.
x = 5
right side = =
= 5 = left side ← solution
x = - 2
right side = =
= 2 ≠ - 2 ← not a solution
Thus x = 5 is the solution to the equation
Width of the rectangle is 12 cm.
Solution:
The length of a rectangle is 4 cm more than its width , and the area of the rectangle is 96 cm². Find the width of the rectangle.
Given data:
Let x be width of the rectangle.
Length of the rectangle = (x + 4) cm
Area of the rectangle = 96 cm²
length × breadth = 96
Subtract 96 from both sides.
Let us factor the polynomial.
Take x common in 1st two terms and -12 common in next two terms.
Now, take (x + 8) common in both terms.
x + 8 = 0 and x - 12 = 0
x = -8 and x = 12
Dimension cannot be in negative terms, so ignore x = -8.
Width = 12 cm
Width of the rectangle is 12 cm.